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Mathematics

Grade10

Easy

Question

Solve the following using the substitution method and find the value of x and y:
-5x = 25
3x + 5y = -35

-1, -2
-3, -5
-5, -4
1, 2

hint Hint:

In the question, two equations are given and we need to find the values of x and y using the substitution method.

The correct answer is: -5, -4

Step by step solution:
$negative space 5 x space equals space 25 rightwards double arrow negative x space equals 25 over 5 equals space 5 rightwards double arrow x space equals space minus 5$
[ signs change in both sides of the equation]
Now, we will substitute the value of x in the second equation.
$3 x space plus space 5 y space equals space minus 35 rightwards double arrow space 3 left parenthesis negative 5 right parenthesis space plus space 5 y space equals space minus 35 rightwards double arrow negative 15 space plus space 5 y space equals space minus 35 rightwards double arrow 5 y space equals space minus 35 space plus space 15 rightwards double arrow 5 y space equals space minus 20 rightwards double arrow y equals space minus 20 over 5 equals space minus 4 rightwards double arrow y space equals space minus 4$
Thus, x = - 5 and y = - 4 (answer)
Hence, option(d) is the correct option.

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