Question

Solve the system of equations using the substitution method.
1. y=x^2+2x-1
y=-2x-4
2. y=2x^2-5
y=11-4x

Answer 1

for the first problem.

you are given (in the second equation) that \(\large\color{black}{ \displaystyle y }\) is same thing as \(\large\color{black}{ \displaystyle -2x-4 }\)

So, all you need to do is to substitute this (the -2x-4 ) instead of y into the first equation.

Answer 2

oh ok thank you that makes more sense

Answer 3

the substitution will occur the following way:

YOUR FIRST EQUATION
\(\large\color{black}{ \displaystyle \color{red}{y}=x^2+2x-1 }\)

SUBSTITUTION
\(\large\color{black}{ \displaystyle \color{red}{-2x-4}=x^2+2x-1 }\)

Answer 4

(I am lagging, excuse me)

Answer 5

simplify and factor.