Question

What is { y= 4x+10 and y= 3x+9

Answer 1

Answer:

x=-1

Step-by-step explanation:

y=4x+10

y=3x+9

-----------

4x+10=3x+9

4x-3x=9-10

x=-1

Answer 2

Answer: (-1,6)

Step 1: Rewrite the equations

y=4x+10

y=3x+9

Step 2: Determine method of solving

When solving an equation, there are three ways you can do it:

1) Graphing
2) Substitution
3) Elimination

We will solve this using substitution

Step 3: Solve

When solving with substitution, you substitute the first equation into the second. So, we will get the value of y and substitute into where y is in the second equation.

y=4x+10 and y=3x+9 goes into:

4x+10=3x+9

Now let’s solve.

4x+10=3x+9

*subtract 3x on both sides*

4x+10=3x+9
-3x -3x
_________
x+10=9

*subtract 10 on both sides*

x+10=9
-10 -10
______
x=-1

Now we have the value of x. Let’s substitute this into the first equation and find y.

y=4x+10

y=4(-1)+10

y=-4+10

y=6

Now we have y! The ordered pair of this would be (-1,6). And that’s your answer.

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