Maths-

General

Easy

Question

Find the solution of the system of equations.
$y equals negative 4 x squared plus x plus 1$
$y equals negative 7 x plus 1$

hint Hint:

An equation of the $a x squared plus 2 a x equals 0$ can be simplified into $a x open parentheses x plus 2 close parentheses equals 0$ . This can be further solved by equating it to zero.
We are asked to solve the set of equation.

The correct answer is: We are asked to solve the set of equation.

Step 1 of 3:
The LHS of the given set of equation is the same. Hence, we can equate them;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 7 x plus 1 equals negative 4 x squared plus x plus 1 end cell row cell 4 x squared minus x minus 1 minus 7 x plus 1 equals 0 end cell row cell 4 x squared minus 8 x equals 0 space space space space space space space space space space space space space space space space space space end cell end table$
Step 2 of 3:
Now, simplify the equation and solve for the variable x:
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 4 x squared minus 8 x equals 0 end cell row cell 4 x left parenthesis x minus 8 right parenthesis equals 0 end cell row cell 4 x equals 0 space space space space space space space space space space space end cell row cell x equals 0 space space space space space space space space space space space space space space end cell row cell x minus 8 equals 0 space space space space space space space space space end cell row cell x equals 8 space space space space space space space space space space space space space space space end cell end table$
Thus, the solutions of the variable are: $x equals 0 space & x equals 8$
Step 3 of 3:
Find the value of y by substituting the values of x in any of the given equation.
When x=0,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals negative 7 x plus 1 end cell row cell y equals 0 plus 1 space space space space space space end cell row cell y equals 1 space space space space space space space space space space space space end cell end table$
When x=8,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals negative 7 x plus 1 space space space end cell row cell y equals negative 7 left parenthesis 8 right parenthesis plus 1 end cell row cell y equals negative 56 plus 1 space space space end cell row cell y equals negative 55 space space space space space space space space space end cell end table$
Thus, the required sets of solutions are: (0, 1) and (8, -55)

You can also solve a set of equation by graphing them. The points where the equations intersect all together would be their solutions.

Find the solution of the system of equations.
$y equals x squared plus 3 x minus 2$
Y= 2x

Maths-General

General

Maths-

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Find the solution of the system of equations.

An equation of the can be simplified into . This can be further solved by equating it to zero.We are asked to solve the set of equation.

The correct answer is: We are asked to solve the set of equation.

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Find the solution of the system of equations.
$y equals negative 4 x squared plus x plus 1$
$y equals negative 7 x plus 1$

An equation of the $a x squared plus 2 a x equals 0$ can be simplified into $a x open parentheses x plus 2 close parentheses equals 0$ . This can be further solved by equating it to zero.
We are asked to solve the set of equation.

Find the solution of the system of equations.
$y equals x squared plus 3 x minus 2$
Y= 2x

Find the solution of the system of equations.
$y equals x squared plus 3 x minus 2$
Y= 2x

Given the equation $y equals x squared plus 3 x plus 2$ , write an equation for a line that does not intersect the parabola.

Given the equation $y equals x squared plus 3 x plus 2$ , write an equation for a line that does not intersect the parabola.

Given the equation $y equals x squared plus 3 x plus 2$ , write an equation for a line that intersects the parabola two times.

Given the equation $y equals x squared plus 3 x plus 2$ , write an equation for a line that intersects the parabola two times.

Complete the sentence with the best prefix
Let's re start the game after a short break

Complete the sentence with the best prefix
Let's re start the game after a short break