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Mathematics

Grade10

Easy

Question

Solve the following using the substitution method and find the value of x and y:
-x + 2y = 3
3y = -3

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

hint Hint:

In the given question, we are required to find the value of x and y from the given two equation using the substitution method.

The correct answer is: -5, -1

Step by step solution:
Given equation:
$open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell negative x plus 2 y equals 3 end cell blank row cell 3 y space equals space minus 3 end cell blank end table close$
now, from the second equation we get
$3 y space equals space minus 3 rightwards double arrow y space equals space minus 1$
Now, we will substitute the value of y in the first equation to get the value of x:
-x + 2y = 3
$rightwards double arrow$ -x + 2(-1) = 3
$rightwards double arrow$ -x -2 = 3
$rightwards double arrow$ -x = 5
$rightwards double arrow$ x = -5
Thus, x = -5 and y = -1(answer)
Hence, option(a) is the correct option.

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