Question

Solve the system of equations by substitution.
x=3y−2
x=5y+8

Answer 1

Answer:

y = -5 and x = -17

Step-by-step explanation:

We want to solve these two equations,

x = 3y - 2

x = 5y + 8

We can see that they both equal x so we want make them equal to each other so,

→ 3y - 2 = 5y + 8

⇒ Subtract 5y from both sides to collect the 'y' terms

→ -2y - 2 = 8

⇒ Add 2 both sides to collect the numerical terms

→ -2y = 10

⇒ Divide both sides by -2 to isolate y

→ y = -5

Now that we have found the value of y we can substitute this value into one of the 2 equations we have to find the value of x

⇒ We know that y = -5 so lets substitute that into x = 3y - 2

→ x = 3 × -5 - 2

⇒ Simplify

→ x = -15 - 2

⇒ Simplify further

→ x = - 17

Answer 2

ANSWER:
X=3y-2
Also,X=5y+8
Then,when put them in one equation with help of sign of equality.
i.e.3y-2=5y+8
3y-5y=8+2
-2y=10
y=10/-2
y=-5
Then value of x can be obtained from any of the given equations.
X=3y-2
X=3*-5-2
X=-15-2
X=-17
Also we can check the answer by solving the other equation:
X=5y+8
X=5*-5+8
X=-25+8
X=-17
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