Answer:
B (5, 13)
Step-by-step explanation:
9x + 4y = 97
9x + 6y = 123
To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.
First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.
-1(9x + 6y = 123)
-9x - 6y = -123
This is one of your equations. Set it up with your other given equation.
9x + 4y = 97
-9x - 6y = -123
Imagine this is one equation. Since every term is negative, you will be subtracting each term.
9x + 4y = 97
-9x - 6y = -123
___________
0x -2y = -26
-2y = -26
To isolate y further, divide both sides by -2.
y = 13
Now, to find x, plug y back into one of the original equations.
9x + 4(13) = 97
Multiply.
9x + 52 = 97
Subtract.
9x = 45
Divide.
x = 5
Check your answer by plugging both variables into the equation you have not used yet.
-9(5) - 6(13) = -123
-45 - 78 = -123
-123 = -123
Your answer is correct!
(5, 13)
Hope this helps!
Answer:
Your answer is A.
Hope this helps!
Step-by-step explanation:
Line r's equation is
y = - 4/3x - 4
And Line s's equation is
y = 2/5x - 2
Hey there mate :)
Please check the attached image for answer.
Let's begin with x as the number of slices the runner up ate.
Davonne ate four more than twice
So the equation should look somewhat like this.
4+2x=11
2x=7
x=3.5
So the runner up ate 3.5 slices
<span>Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then how many slices did the runner up eat?</span>
7 tens=10,10....=70
20 ones=1,1....=20
which sum up to be 90
5 tens=50
13 ones=13
=63
