Question

OER type of question.
The system of linear equations is below.
2x – 3y = 15
-2x + y = -1
It has on it that the two ways it can be solved are 'Substitution or Elimination'.
The Academic Language we are supposed to use is below.
Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.

Don't know if anyone can help me with this but I am really bad at OERs and I am hoping that someone can help with this so I can somewhat pass my class.

Answer 1

Answer:

x=-3, y=-19

Step-by-step explanation:

we can solve by substitution.

y = 2x-1 we can derive from the second equation.

plugging it into the first equation, 2x -3(2x-1) = 15.

simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.

now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1

simplify, 18+y = -1 --> y = -19.