Question

Why is the system of equations 7x + 7y = 42 and 6x + y = 36 equivalent to the system of
equations x +y = 6 and 6x + y = 36? (1 point)
a. The intercepts of the equations 7x + 7y = 42 and x + y = 6 are (0, 36) and (6, 0).
b. The equation 7x + 7y = 42 can be multiplied by 7 to produce the equivalent equation x + y = 6.
c. All equations share the point (6, 0).
d. The intercepts of the equations 7x + 7y = 42 and x + y = 6 are (0, 6) and (6, 0).

Answer 1

d.

Because 7x + 7y = 42 simplifies (divide both sides by 7) to x + y = 6, they are the same line. Its intercepts are (0, 6) and (6, 0).