Question

for each ordered pair , determine whether it is a solution to the system of equations y=2x+1. -5x+3y=8(x,y) (3-2) it is a solution yes or no. (-7-9) it is a solution yes or no(5,11) it is a solution yes or no(0,11) it is a solution yes or no

Answer 1

The given system of equation

y=2x+1 (1)

-5x+3y=8 (2)

Apply substitution method to solve for x & y

Since, it is given that y=2x+1 use this in equation (2)

-5x+3(2x+1)=8

Simplify

-5x+6x+3=8

x=8-3

x=5

Substitute the value of x=5 in the equation (1) to find the value of y

y=2(5)+1

y=10+1

y=11

So, the solution of the given system of equation is (5,11)

ANSWER:

(a). (3,-2) is not the solution

(b). (-7-9) is not the solution

(c) (5,11) is the solution

(d). (0,11) is not the solution.