Question

Solve the following system by substitution

y= 4x + 9
y = 5x + 10

Answer 1

replace y

4x+9 = 5x+10
...

Answer 2

thx oobleck

Answer 3

4x+9=5x+10

Answer 4

help for test

Answer 5

[AI-generated answer — Explain Bot]

To solve this system of equations by substitution, we need to isolate one variable in terms of the other and then substitute that expression into the other equation.

Let's start by isolating y in terms of x in the first equation:

y = 4x + 9

We can rewrite this equation as:

y = 4x + 9

Now, let's substitute this expression for y in the second equation:

4x + 9 = 5x + 10

Next, we'll move all the terms containing x to one side of the equation and constant terms to the other side:

4x - 5x = 10 - 9

Simplifying, we get:

-x = 1

To solve for x, we can multiply both sides of the equation by -1:

x = -1

Now, to find the value of y, we can substitute this value of x back into either of the original equations. Let's use the first equation:

y = 4x + 9

Substituting x = -1:

y = 4(-1) + 9
y = -4 + 9
y = 5

Therefore, the solution to the system of equations is x = -1 and y = 5.