Question

Which equation does the graph of the system of equations solve?

A. 2x + 2 = x - 5
B. 2x + 2= -x + 5
C. 2x + 4 = x - 4
D. 2x + 3 = -x + 5

Answer 1

B

Explanation:

Equation of line 1:

Choose two points : (-1, 0) & (0,2)

y -intercept = b = 2

y = mx+ 2

Plugin the values of the points ( -1 , 0) in the above equation

0 = -1m + 2

-2 = -m

m = 2

Equation of line 1 : y = 2x + 2

Equation of line 2:

(5,0) & (0,5)

y-intercept = b = 5

y = mx +b

y = mx + 5

Plugin the value of points (5 , 0) in the above equation

0 = 5m + 5

-5 = 5m

-5/5 = m

m = -1

Equation of line 2: y = -x + 5

Conclusion: 2x + 2 = -x + 5