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sveta [45]
3 years ago
5

Solve by elimination 5x+6y =-2 15x + 4y= 22

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0

Answer:

(2,-2)

Step-by-step explanation:

sineoko [7]3 years ago
7 0

Answer:

(2, -2)

Step-by-step explanation:

Multiply the first equation by -3,and multiply the second equation by 1.

−3(5x+6y=−2)

1(15x+4y=22)

Becomes:

−15x−18y=6

15x+4y=22

Add these equations to eliminate x:

−14y=28

Then solve−14y=28for y:

−14y=28

−14y

−14

=

28

−14

(Divide both sides by -14)

y=−2

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

5x+6y=−2

Substitute−2foryin5x+6y=−2:

5x+(6)(−2)=−2

5x−12=−2(Simplify both sides of the equation)

5x−12+12=−2+12(Add 12 to both sides)

5x=10

5x

5

=

10

5

(Divide both sides by 5)

x=2

Answer:

x=2 and y=−2

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