Answer: x = 14 and y = 10
Step-by-step explanation: What we have in the question is a pair of simultaneous equations as follows(
x = y + 4 ———(1)
2x - 3y = -2 ——(2)
Looking at both equations, one of the variables has a coefficient of 1, and as a result of that, we shall use the substitution method.
From equation (1), x = y + 4
Substitute for the value of x in equation (2)
2x - 3y = -2
2(y + 4) - 3y = -2
2y + 8 -3y = -2
-y + 8 = -2
Subtract 8 from both sides of the equation
-y +8 -8 = -2 -8
-y = -10
Divide both sides of the equation by -1
y = 10
Having calculated y, substitute for the value of y into equation (1)
x = y + 4
x = 10 + 4
x = 14
Therefore, x = 14 and y = 10
