Question

Solve the following system of equations using the substitution method

y = 4/5x - 3
y = -7

Answer 1

Answer:
`x=-5\\y=-7`

Explanation:

Given the system of equations:

`\left \{ {{y=(4)/(5)x-3 } \atop {y=-7}} \right.`

You can apply the Substitution method.

You need to substitute the second equation which gives the value of the variable "y" into the first equation and solve for the variable "x", then:

`y=(4)/(5)x-3\\\\-7=(4)/(5)x-3\\\\-7+3=(4)/(5)x\\\\-4=(4)/(5)x\\\\(-4)(5)=4x\\\\x=(-20)/(4)\\\\x=-5`