Mathematics
Grade-8
Easy

Question

Solve the following using the substitution method and find the value of x and y:
4x + y = -9
5x – 3y = 10

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

hintHint:

Simplify the given equation by expanding the parenthesis.

Solve one of the equations for either x or y.

Substitute the step 2 solution in the other equation.

The correct answer is: -1, -5


    using the substitution method;
    Given equations;
    4x + y = -9......(1)
    5x – 3y = 10.......(2)
    Simplify equation 1;
    4x+y=-9
    y=-9-4x........(3)
    substitute equation 3 in the equation 2
    5x-3y=10=>5x-3(-9-4x)=10
    5x+27+12x=10
    17x+27=10
    17x=10-27
    17x=-17
    x=-1
    than y=-9-4(-1)
     y=-5
    Therefore ,the value of x=-1 and y=-5

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