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Dafna1 [17]
3 years ago
12

1. Solve the following system of equations by elimination. What is the value of x?

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
3 0

Answer:

x = 1 (Option C)

Step-by-step explanation:

3x - 4y = -5 (1)

-3x - 4y = -11 (2)

On adding

3x - 4y - 3x - 4y = -11 + 5

6x = 6

x = 6/6

x = 1

artcher [175]3 years ago
3 0

Elimination method is a method of eliminating one of the variables from the two equations whose remaining variables will be simplified..

3x - 4y= -5 (×1) 3x - 4y= -5

-3x - 4y= -11 (×1) <u>-3x</u><u> </u><u>-</u><u> </u><u>4y</u><u> </u><u>=</u><u> </u><u>-11</u><u> </u><u>(</u><u>-</u><u>)</u>

6x = 6

6x/6 = 6/6

x = 1

the value of x is <em><u>1</u></em>

Answer: Option [C]

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Is there an ordered pair that is a solution to BOTH of
Arte-miy333 [17]

Answer: The ordered pair is (2,3)

Step-by-step explanation:

To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:

x + 1 = -x + 5

The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.

Move the variables to one side and the numerical values to another:

x + x = 5 - 1.

Simplify.

2x = 4

Simplify.

x = 2.

Now, we got our x value, we can substitute it into our problem:

y = 2 + 1

y + -2 + 5

2 + 1 = - 2 + 5 = 3

Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).

6 0
3 years ago
Whats the solution to this equation? 3x-9=12
Nutka1998 [239]

Answer:

x=7

Step-by-step explanation:

3x-9=12

add 9 to both sides

3x=21

divide both sides by 3

x=7

6 0
3 years ago
Read 2 more answers
What times itself equals -10
lutik1710 [3]
0x 10 = -10
I think
7 0
2 years ago
The area of a rectangular classroom is given by the trinomial a - 4a - 21. The length of the rectangle is a+3. What is the expre
djverab [1.8K]
I am assuming you wrote the problem wrong. Is it a^2?
A^2 -4A-21=0
(A-7)(A+3)=0
A=7 A=-3, ignore the negative number because it doesn't make sense if you plug in for a.
length=a+3=7+3=10
Width=7=a
3 0
3 years ago
I don't know how to do this question can you please help me. ? ? ?
S_A_V [24]
So the base is 72 area squared. You multiply 72 by the height, which is 9, giving you 648 area cubed.
Hope this helped!
4 0
3 years ago
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