Question

What is the solution to the system of equations ? y=-5x+3 and y=1

Answer 1

SOLUTION STEPS

{

y=−5x+3

y=1

​

Consider the first equation. Insert the known values of variables into the equation.

1=−5x+3

Swap sides so that all variable terms are on the left hand side.

−5x+3=1

Subtract 3 from both sides.

−5x=1−3

Subtract 3 from 1 to get −2.

−5x=−2

Divide both sides by −5.

x=

−5

−2

​

Fraction

−5

−2

​

can be simplified to

5

2

​

by removing the negative sign from both the numerator and the denominator.

x=

5

2

​

The system is now solved.

y=1

x=

5

2

​

Explanation:

Answer 2

y=-5x+3 , subing in y=1
1=-5x+3
5x =2
x= 2/5