Answer:
Division property of equality
Explanation:
2x + 2y = 14 -----------(1)
−4x + 6y = 12---------(2) Given
we can divide through the equation equation (2) by 2
The equation becomes;
-2x + 3y = 6 ----------(3) Division property of equality
(4x ÷2 = 2x 6y÷2 = 3y 12÷2=6)
2x + 2y = 14 -----------(1)
-2x + 3y = 6 ----------(3)
To eliminate x variable, we will add equation (1) and equation (3) together
(2 x+ [-2 x] = 2 x-2 x = 0 2 y + 3 y = 5 y 14 + 6=20)
The equations become;
5y = 20
To get the value of y, we divide both-side of the equation by 5
5y/5 = 20/5
y = 5
To find the value of x, we will simply substitute y =5 in equation (1)
2x + 2y = 14
2x + 2(5) = 14
2x + 10 = 14
subtract 10 from both-side of the equation
2x + 10 -10 = 14 -10
2x = 4
Divide both-side of the equation by 2
2x/2 = 4/2
x = 2
x = 2 and y =5