Question

1. Identify a solution to this system of equations:-4x + 3y = 23x - y = -7O (-5,2)O (-2,5)O (-3, 4)O (4,-3)

Answer 1

To solve the system, we can do it by substitution, which is following the procedure below.

0. Isolating ,x ,from the second equation.

`x=-7+y`

2. Replacing the isolated expression of x in the first equation.

`-4\cdot(-7+y)+3y=23`
`28-4y+3y=23`

4. Solving for y.

`4y-3y=28-23`
`y=5`

5. Replacing the value of y in the isolated expression of x.

`x=-7+5`
`x=-2`

Answer: x = -2; y = 5.