Y = x + 8

y= 3x - 11

u would multiply y = x + 8 by -3 to eliminate the x’s

Which of the following ordered pairs represents the solution to the system given below?

x − 3y = 12

2x + 6y = 60

(0, −4)

(12, 0)

(3, 21)

(21, 3)that would be (21,3)

The work of a student to solve a set of equations is shown below:

Equation 1: m = 8 + 2n

Equation 2: 4m = 4 + 4n

Step 1: −4(m) = −4(8 + 2n)

4m = 4 + 4n

Step 2: −4m = −32 − 8n

4m = 4 + 4n

Step 3: −4m + 4m = −32 − 8n + 4n

Step 4: 0 = −32 − 4n

Step 5: n = − 8

In which step did the student first make an error?

Step 1

Step 2

Step 3

Step 4step 3

Maria wants to solve the following system using the elimination method:

4x + 9y = 59

x + y = 17

What number should the equation x + y = 17 be multiplied by to eliminate y?

4

−4

9

−9