Question

what should you substitute for y in the second equation bottom equation in order to solve the system of substitution method. (CANT MISS ANYMORE)​

Answer 1

Answer:

i would say 0 to help get x by itself but im not entirely sure

Step-by-step explanation:

Answer 2

To solve the given system of equations by substitution method we substitute $y = \frac{10-4x}{2}$ in the second equation 3x + 5y = 11.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

According to the given question.

We have two equations.

$4x+2y = 10...(i)\\3x+5y = 11..(ii)$

From the above equation (i) find the value of y in the form of x.

$\implies 2y = 10 - 4x \\\implies y = \frac{10-4x}{2}$

So, to solve the given system of equations by substitution method we substitute $y = \frac{10-4x}{2}$ in the second equation 3x + 5y = 11.

Therefore,

$3x + 5 (\frac{10-4x)}{2} = 11$              (substituting $y = \frac{10-4x}{2}$ is the second equation)

$\implies 3x + 5 (5 -2x ) =11\\\implies 3x + 25 -10x = 11\\\implies -7x = 11- 25\\\implies -7x = -14\\\implies x = 2$

Again substitute x = 2 in $y = \frac{10-4x}{2}$.

$\implies y = \frac{10-4(2)}{2}$

$\implies y = \frac{10-8}{2}$

$\implies y = \frac{2}{2}$

$\implies y = 1$

Hence, the value of x is 2 and y is 1 for the given system of equation.

Find out more information about substitution method here:

https://brainly.com/question/14619835

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