Answer
Final answer:
To solve this system, substitute the value of y from the second equation into the first equation and solve for x. Then, substitute the value of × back into either equation to find the corresponding value of y.
Step-by-step explanation:
This question is about solving a system of linear equations. The first equation is given as 2x+3y=-17. The second equation is y = x-102. To find the solution to the system, we can substitute the value of y from the second equation into the first equation.
Substituting y = x-102 into the first equation,
we get 2x+3(x-102) = -17. Simplifying this
equation by distributing and combining like terms, we can solve for x. Once we find the value of x, we can substitute it back into either of the equations to find the corresponding value of y.
For example, if we find × =-65, then substituting this value into the second
equation, we get y = -65-102. Simplifying this
gives us y =-167.