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Solve the system of equations by the addition method
5x – 3y = 4
7x-2y = 4

Solve The System Of Equations By The Addition Method 5x 3y 4 7x2y 4 class=

Sagot :

money2690
x = 4/11, y = -8/11 or (4/11,-8/11)
Esther

Answer:

[tex](x,y)= > (\frac{4}{11},-\frac{8}{11})[/tex]   or   [tex](x,y)= > (0.36,-0.72)[/tex]

Step-by-step explanation:

Addition method, is also known as the Elimination method.

[tex]\left \{ {{5x-3y=4} \atop {7x-2y=4}} \right.\\\\\left \{ {-2({5x-3y=4}) \atop 3({7x-2y=4})} \right.\\\\\left \{ {{-10x+6y=-8} \atop {21x-6y=12}} \right.\\\\11x=4\\\\\frac{11x}{11} =\frac{4}{11}\\\\x = \frac{4}{11}[/tex]

[tex]5x-3y=4[/tex]

[tex]5(\frac{4}{11}) -3y=4\\\\\frac{20}{11} -3y=4\\\\11(\frac{20}{11} -3y=4)\\\\20-33y=44\\\\-20 -20\\\\-33y=24\\\\/-33 /-33\\\\y = \frac{24}{-33} =\frac{8}{-11}\\\\y=-\frac{8}{11}[/tex]

[tex](x,y)= > (\frac{4}{11},-\frac{8}{11})[/tex]   or   [tex](x,y)= > (0.36,-0.72)[/tex]

Hope this helps!

View image Esther
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