Maths-
General
Easy
Question
Solve the system of equations by elimination :
3X + 2Y = 4
3X + 6Y = - 24
Hint:
Perform any arithmetic operation and then find.
The correct answer is: We can also solve these system of equations by making the coefficients of to be the same in both the equations.
Complete step by step solution:
Let 3x + 2y = 4…(i)
and 3x + 6y = - 24…(ii)
On subtracting (i) from (ii),
we get LHS to be 3x + 6y - (3x + 2y) = 6y - 2y = 4y
and RHS to be - 24 - 4 = - 28
On equating LHS and RHS, we get 4y = - 28
⇒ y= - 7
On substituting the value of in (i), we get 3x + 2× - 7 = 4
⇒ 3x – 14 = 4
⇒ 3x = 4 + 14
⇒ 3x = 18
⇒x = 6
Hence we get and y = - 7
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
Hence we get and y = - 7
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
Related Questions to study
Maths-
Use Substitution to solve each system of equations :
2X + 2Y = 6
4X + 4Y = 4
Use Substitution to solve each system of equations :
2X + 2Y = 6
4X + 4Y = 4
Maths-General
Maths-
Solve the following by using the method of substitution
X = 2Y+ 3
11Y - 5X = -14
Solve the following by using the method of substitution
X = 2Y+ 3
11Y - 5X = -14
Maths-General
Maths-
If m∠1= 50°, find m∠8.
If m∠1= 50°, find m∠8.
Maths-General
Maths-
Identify and name two obtuse angles.
Identify and name two obtuse angles.
Maths-General
Maths-
Identify and name two right angles.
Identify and name two right angles.
Maths-General
Maths-
Identify and name two acute angles.
Identify and name two acute angles.
Maths-General
Maths-
Name any three angles in the diagram.
Name any three angles in the diagram.
Maths-General
Maths-
Use Substitution to solve each system of equations :
2X + 5Y = -5
Y = 
Use Substitution to solve each system of equations :
2X + 5Y = -5
Y =
Maths-General
Maths-
Write a function in the form Y = mx + b for the line that contains the points (-8.3, -5.2) and (6.4, 9.5)
Write a function in the form Y = mx + b for the line that contains the points (-8.3, -5.2) and (6.4, 9.5)
Maths-General
Maths-
Solve the following by using the method of substitution
Y = X
7X + 3Y = 10
Solve the following by using the method of substitution
Y = X
7X + 3Y = 10
Maths-General
Maths-
Bhargavi is looking at a graph that shows a line drawn between two points with a slope of -5. One of the point is smudged and she cannot read it. The point as far as she can tell are (3,5)(X,10). What must the value of X be? Explain.
Bhargavi is looking at a graph that shows a line drawn between two points with a slope of -5. One of the point is smudged and she cannot read it. The point as far as she can tell are (3,5)(X,10). What must the value of X be? Explain.
Maths-General
Maths-
A piece of paper is folded randomly as shown in the figure.
Find the value of x + y.
A piece of paper is folded randomly as shown in the figure.
Find the value of x + y.
Maths-General
Maths-
Solve the system of equations by elimination :
4X - 2Y = - 2
3X + 2Y = - 12
Solve the system of equations by elimination :
4X - 2Y = - 2
3X + 2Y = - 12
Maths-General
Maths-
How can you use a function to represent a linear relationship?
How can you use a function to represent a linear relationship?
Maths-General
Maths-
The graph shows the relationship between the number of pages printed by a printer and the warm up time before each printing. What function in the form Y = mx + b represents this relationship?
The graph shows the relationship between the number of pages printed by a printer and the warm up time before each printing. What function in the form Y = mx + b represents this relationship?
Maths-General
