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Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols

2x+7y=-1 and 4x-3y=-19

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apologiabiology

multiply the equation 2x+7y=-1 by -2

add to othe equaiton
4x-3y=-19
-4x-14y=2 +
0x-17y=-17

-17y=-17
divide both sides by -17
y=1

sub back
2x+7y=-1
2x+7(1)=-1
2x+7=-1
minus 7 from both sides
2x=-8
divide both sides by 2
x=-4

x=-4
y=1
(x,y) is normal form
(-4,1) is answer

The following system of equations solution is (-4,1) .

What is a System of Equation ?

A system of Equation is a set of equation which have a common solution.

The set of equation given are

2x+7y = -1   ----------------1

4x-3y = -19     --------------2

multiply the equation 1  by -2 and adding equation 1 and 2

4x-3y=-19

-4x-14y=2

-17y=-17

y=1

Substituting the value of y in x

2x+7y=-1

2x+7(1)=-1

2x+7=-1

2x=-8

x=-4

y=1

Therefore , (-4,1) is answer.

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