Answer:
Therefore x = -9 and y = 8.
Step-by-step explanation:
Substitution method
Equation (1) ——— 2x + 3y = 6
Equation (2) ——— 4x - y = -44
When using substitution method , make x the subject of equation (1).
2x + 3y = 6
2x = 6 - 3y
x = 3 - 3y/2
Substitute the value of x in equation (2) to find y.
4(3 - 3y/2) - y = -44
12 - 6y - y = -44
Subtract 12 from both sides.
12 - 12 - 7y = -44 - 12
-7y = -56
y = 8
Substitute the value of y in equation (1) to find x.
2x + 3y = 6
2x + 3(8) = 6
2x +24 = 6
Subtract 24 from both sides.
2x + 24 - 24= 6 - 24
2x = -18
x = -9
Therefore x = -9 and y = 8.
To check out the solution.
Equation (1) 2x + 3y = 6 , x = -9 , find y.
Substitute the value of x
2(-9) + 3y = 6
-18 + 3y = 6
Add 18 to both sides.
-18 + 18 + 3y = 6 + 18
3y = 24
y = 8
Substitute the value of y in equation (1) .
2x +3(8) = 6
2x + 24 = 6
Subtract 24 from both sides.
2x + 24 - 24 = 6 -24
2x = -18
x = -9
As you can see when you substitute the value of x and y in the equation(1) , you get the same value of x and y ,which is -9 and 8 respectively. So the solution is correct.
