y = 3x − 4 and y = 2x − 2 with point (2, 2)b y = − x + 3 and y = − x with point (2, 1)c y = − 4x + 1 and y = − x − 1 with point (1, − 3)d x − y = 10 and 2x + y = 8 with point (6, − 4)e 2x + y = 0 and y = 3x + 4 with point (− 1, 2)f x − 3y = 13 and y = − x − 1 with point (4, − 3)

a) y = 3x − 4 and y = 2x − 2 with point (2, 2)

1. Substitute x = 2 into both equations to check if y = 2 satisfies them.
2. For y = 3x − 4: y = 3(2) − 4 = 6 − 4 = 2.
3. For y = 2x − 2: y = 2(2) − 2 = 4 − 2 = 2.
4. The point (2, 2) satisfies both equations.

b) y = −x + 3 and y = −x with point (2, 1)

1. Substitute x = 2 into both equations to check if y = 1 satisfies them.
2. For y = −x + 3: y = −(2) + 3 = −2 + 3 = 1.
3. For y = −x: y = −(2) = −2.
4. The point (2, 1) does not satisfy both equations.

c) y = −4x + 1 and y = −x − 1 with point (1, −3)

1. Substitute x = 1 into both equations to check if y = −3 satisfies them.
2. For y = −4x + 1: y = −4(1) + 1 = −4 + 1 = −3.
3. For y = −x − 1: y = −(1) − 1 = −1 − 1 = −2.
4. The point (1, −3) does not satisfy both equations.

d) x − y = 10 and 2x + y = 8 with point (6, −4)

1. Substitute x = 6 and y = −4 into both equations to check if they satisfy them.
2. For x − y = 10: 6 − (−4) = 6 + 4 = 10.
3. For 2x + y = 8: 2(6) + (−4) = 12 − 4 = 8.
4. The point (6, −4) satisfies both equations.

e) 2x + y = 0 and y = 3x + 4 with point (−1, 2)

1. Substitute x = −1 and y = 2 into both equations to check if they satisfy them.
2. For 2x + y = 0: 2(−1) + 2 = −2 + 2 = 0.
3. For y = 3x + 4: 2 = 3(−1) + 4 = −3 + 4 = 1.
4. The point (−1, 2) does not satisfy both equations.

f) x − 3y = 13 and y = −x − 1 with point (4, −3)

1. Substitute x = 4 and y = −3 into both equations to check if they satisfy them.
2. For x − 3y = 13: 4 − 3(−3) = 4 + 9 = 13.
3. For y = −x − 1: −3 = −(4) − 1 = −4 − 1 = −5.
4. The point (4, −3) does not satisfy both equations.