How do you solve this problem using substitution and then check it?

Given the equations:
\[ y = -3x - 2 \]
\[ 2x + 5y = 16 \]

Solve using substitution and check your solution.

We have the variable y so lets substitute y=-3x-2 2x+5y=16
2x+5y=16 2x+5(-3x-2)=16 2x-15x-10=16 -13x=26 x=-2
y=-3x-2 =-3(-2)-2 =4
2x+5y=16 2(-2)+5(4)=16 -4+20=16 16=16

Answered by deathstrike001 | 2024-06-10

You have to get a variable by itself like in here... Y is itself so in the other equation or we can say second one you just have to sub it in... Like
2x+5(-3x-2)=16 2x-15x-10=16 Now you just have to subtract 2 from 15, because of the same variable that is (x) So -13x-10=16 Take 10 to the other side means add from the both sides, that will get you at -13x=26 So now x= -2 Remember you added because it was -10 if it would be a positive 10 then you have to subtract it from both of the sides but since here it was negative so you just added them up Hope i helped

Answered by diksha | 2024-06-10

We solved the equations y = − 3 x − 2 and 2 x + 5 y = 16 using substitution. The solution is x = − 2 and y = 4 , which we verified by substituting these values back into the original equations. Both checks confirm the solution is accurate.
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Answered by deathstrike001 | 2024-12-24