Question

Solve the system by substitution. 4x + 2y = 10 x − y = 13

Answer 1

answer are attached in pic hope it's helpful for you

value of x =6

y =7

Answer 2

Answer:

$\boxed{\tt (6,-7)}$

Step-by-step explanation:

$\tt 4x + 2y = 10\\x - y = 13$

First Let's solve for x in x-y=13

$\tt x-y=13$

Add y to both sides:

$\tt x=13+y$

Now, Substitute x=13+y into 4x+2y=10:-

Let x=13+y

$\tt 4(13+y)+2y=10$

$\tt 52+6y=10$

Now, let's solve for y in 52+6y=10:-

$\tt 52+6y=10$

Subtract 52 from both sides:-

$\tt 6y=10-52$

$\tt 6y=-42$

Divide both sides by 6:-

$\tt \cfrac{6y}{6} =\cfrac{-42}{6}$

$\boxed{\tt y=-7}$

Now, we'll Substitute y=-7 into to x=13+y to find "x":-

$\tt x=13+y$

$\tt x=13+-7$

$\boxed{\tt x=6}$

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