Asystem of equations is shown below:

y = 3x − 7
y = 2x + 1

what is the solution to the system of equations?
(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Solution (8 , 17).

Step-by-step explanation:

Given : y = 3x − 7  and y = 2x + 1 .

To find : What is the solution to the system of equations.

Solution : We have given

y = 3x − 7  (1)

y = 2x + 1  (2).

Plug the value of y of equation 2 in equation 1.

2x + 1 = 3x - 7.

Subtracting both sides by 1

2x + 1 - 1 = 3x - 7 - 1.

2x = 3x - 8.

On subtracting both sides by 3x.

2x -3x = - 8.

-x = -8

On Dividing both sides by -1

x = 8.

Now plug the x = 8 in eq 1.

y = 3(8) -7.

y = 24 - 7.

y = 17.

Solution (8 , 17).

Therefore, Solution (8 , 17).

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.