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solve the following system of equations. y = -2x - 9 and 2x + 3y = -9

Sagot :

Concerning the interrogate, the retort to such is identified as the following,,

Convert the Slope-Intercept Form to General Form:
Y = -2x - 9 ==> 2x + y = -9

Evaluate:
2x + y = -9
2x + 3y = -9

Multiply the X factors by each other, making one of the products opposite:

-2(2x + y) = -9 ==> -4x - 2y = 18
2(2x + 3y) = -9 ==> 4x + 6y = -18

Add the expressions:
-4x - 2y = 18
4x + 6y = -18
————————
4y = 0
Y = 0

Now, substitute the zero within one of the equations:
2x + 3y = -9
2x + 3(0) = -9
2x = -9
X = -4.5

Thus, (-4.5,0)
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