evanslambert1
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Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

x =
y =

Respuesta :

absor201

The value of x is 5/6 and y is 8/5.

Step-by-step explanation:

Given,

12x+15y=34   Eqn 1

-6x+5y=3   Eqn 2

Multiplying Eqn 2 by 2

[tex]2(-6x+5y=3)\\-12x+10y=6\ \ \ Eqn 3[/tex]

Adding Eqn 1 and 3

[tex](12x+15y)+(-12x+10y)=34+6\\12x+15y-12x+10y=40\\25y=40[/tex]

Dividing both sides by 25

[tex]\frac{25y}{25}=\frac{40}{25}\\y=\frac{8}{5}[/tex]

Putting y= 8/5 in Eqn 1

[tex]12x+15(\frac{8}{5})=34\\12x+3*8=34\\12x+24=34\\12x=34-24\\12x=10[/tex]

Dividing both sides by 12

[tex]\frac{12x}{12}=\frac{10}{12}\\x=\frac{5}{6}[/tex]

The value of x is 5/6 and y is 8/5.

Keywords: Linear equations, fractions

Learn more about fractions at:

  • brainly.com/question/6069822
  • brainly.com/question/6073431

#LearnwithBrainly

queenava4l

Answer:

x=5/6

y=8/5

That's the answer, I got it right.

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