Solve the system of linear equations by substitution.

y=2x+5
y=3x−1

(6,17)

Step-by-step explanation:

We are required to substitue equation 1 into equation 2.

1.y=2x+5

2.y=3x-1

Basically,

2x+5=y=3x-1

Both the expressions equal y,sot they should equal each other too.

2x+5=3x-1

2x-3x+5=-1

-1x=-1-5

-1x=-6

x=6

Therefore x=6

We should substitute the value of x into one of the equations to find the value of y

*You can choose any of the equations mentioned.

I am choosing y=2x+5

y=2(6)+5(Substite the value of x in the place of x)

y=12+5

y=17

Therefore the solution for the linear equations are (6,17)

THIS STEP IS COMPLETELY OPTIONAL, IT IS JUST TO VERIFY WHETHER YOU ANSWER IS CORRECT OR NOT

Taking y=2x+5

17=2(6)+5(substitue the value of y and x into the equation)

17=17

Thus, (6,17) is the solution

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: