Solve the system by substitution. \(\displaystyle{x}={4}{y}-{6}\) \(\displaystyle-{4}{x}+{3}{y}=-{28}\)

Kason Palmer

Kason Palmer

Answered question

2022-03-22

Solve the system by substitution.
x=4y6
4x+3y=28

Answer & Explanation

Cailyn Hanson

Cailyn Hanson

Beginner2022-03-23Added 11 answers

Step 1
Given,System of equations,
x=4y6 ... (1)
and 4x+3y=28 ... (2)
We have to solve by substitution,
ie Put the value of x from eqn (1)
In,we find the value of y
Then Put that value of y in ,we findof x.
Step 2
We have,
x=4y6
4x+3y=28
Put x=4y6 from 1 in 2 (According to Substitution)
we get
4(4y6)+3y=28
16y+24+3y=28
16y+3y=2824
13y=52
13y=52
y=5213=4
y=4
Now, Put y=4 in 1 ,we get
x=4(4)6=166=10
x=10
Henu, Solution of the given system of equations is
x=10 and y=4

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