Question

I need help with answering question 16 on spring board algebra 2 pg. 35 the questions says solve the system using substitution the equation is : {4y + 19 = x and below that is 3y-x=4 I just need to be shown how to do it

Answer 1

Answer:

x = 147

y = 32

Step-by-step explanation:

I got a bit confused by what you said, but I think you need help being shown how to do 16, so hopefully the following will help!

So to use substitution you "plug in" the expression into each other. Here is what to do for 16!

[] First, we need to find which expression can be plugged in. The first one works! It is set equal to x, so we can easily plug it in.

[] Now, we need to set up our equation!

3y - x = -13

      /\

4y + 19 = x

3y - 4y + 19 = -13

[] Now, we solve for y and simplfy!

3y - 4y + 19 = -13

-y = -32

(I subtracted 19 for both sides and combined the y's)

Now I am going to add -y and -32 to both sides so I can have it be positive.

y = 32

[] Last, but not least, we solve for x!

- Plug the y you just solved into the equation for x

4y + 19 = x

4(32) + 19 = x

128 + 19 = x

147 = x

(hopefully this is correct, have a nice day!)