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:
Step-by-step explanation:
The answer is 33. First do 3 times 5, 15, then do that -2. 13. 13 plus 4 times 5 is 33 :)
Just divide regular and the answer will be positive. the answer will be 8
remember:
two positives = positive
two negatives = positive
one positive, one negative = negative
Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.
<h3>What is the linear system?</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.
Given
The equations are shown below.
y = 5 - 3x .....1
5x - 4y = -3 .....2
Substitute equation 1 in equation 2. Then
Then substitute the value of x in equation 1.
Thus, the value of x and y is 1 and 2 respectively.
More about the linear system link is given below.
brainly.com/question/20379472
