Question

{8x + 9y = −3 6x + 7y = 1 What values of x and y satisfy the system of equations

Answer 1

A) 8x + 9y = −3

B) 6x + 7y = 1

We multiply A) by -(6/8)

A) -6x -6.75y = 2.25 then we add this to equation B

B) 6x + 7y = 1

.25y = 3.25

y = 13

and x = -15

Explanation:

Answer 2

The value of x= -15 and the value of y= 13 for the given system of equations: 8x+9y=−3 and 6x+7y=1.

Let’s solve the system of equations:

8x+9y=−3

6x+7y=1

We can solve the system of equations using elimination.

Steps to solve:

1. Solve the second equation for y:

y= 1/7

​2. Substitute this value of y into the first equation:

8x+9(1/7)=−3

8x+9/7 =−3

8x=−120

x=−15

3. Substitute x=-15 back into the second equation to solve for y:

6(−15)+7y=1

−90+7y=1

7y=91

y=13

Therefore, the value of x= -15 and the value of y= 13 for the given system of equations: 8x+9y=−3 and 6x+7y=1.