Question

An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? (4 points) a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.

Answer 1

Answer (a)

Explanation:

y = x + 10

y = −x + 3 It's easier to see what to do next if you first write these equations in a column.

Combining these equations, we get 2y = 13, so that y = 13/2.

Answer (a) is the best choice of the four possible answers.