Solve by substitution. 3x + 5y = 12 x + 4y = 11

Question

asked Dec 18, 2021 97.0k views

2 Answers

Ahad Porkar · Answer 1 · 2021-12-19T09:52:14+0000

Answer:

Yay! System of equations!

Explanation:

So, to solve this with substitution!

The best one to start with is the bottom one, x+4y=11

So, we can move 4y to the other side of the equation to get the value for x!

x=-4y+11

So, to substitute this, we just input this x-value into the other equation!

3(-4y+11)+5y=12

So, we have our equation, so let's solve!

$-12y+33+5y=12\\-7y=-21\\y=3$

So, there is our y-value! Now to input this value into either one of the equations to find the x-value!

$x+4(3)=11\\x=-1$

So, there is our solution!

Hope this helps!

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