Question

X-y=-3
y-6=-1/4(x+12

Answer 1

Answer: 24

Explanation:

−3−6=−

4

1

​

(x+12)

Subtract 6 from −3 to get −9.

−9=−

4

1

​

(x+12)

Use the distributive property to multiply −

4

1

​

by x+12.

−9=−

4

1

​

x−

4

1

​

×12

Express −

4

1

​

×12 as a single fraction.

−9=−

4

1

​

x+

4

−12

​

Divide −12 by 4 to get −3.

−9=−

4

1

​

x−3

Swap sides so that all variable terms are on the left hand side.

−

4

1

​

x−3=−9

Add 3 to both sides.

−

4

1

​

x=−9+3

Add −9 and 3 to get −6.

−

4

1

​

x=−6

Multiply both sides by −4, the reciprocal of −

4

1

​

.

x=−6(−4)

Multiply −6 and −4 to get 24.

x=24

Answer 2

(0,3)

Explanation:

x - y = -3

y = -1/4x + 3

x - (-1/4x + 3) = -3

x = 0

y = -1/4 x 0 + 3

y = 3

(0,3)