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torisob [31]
3 years ago
9

100 POINTS PLEASE ANSWER FULLY!!

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0
Answer: 15
explanation:
Kruka [31]3 years ago
6 0

Answer:

15

Step-by-step explanation:

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Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4​
FinnZ [79.3K]

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

2x-3y=6 \rightarrow -4x+6y=-12

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

8y=-8

Divide both sides by 8.

y=-1

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4x +2(-1)=4

Simplify.

4x -2=4

Add 2 to both sides.

4x=6

Divide both sides by 4.

x=\frac{6}{4} \rightarrow\frac{3}{2}

The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

5 0
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