Question

use the graph to find the solution to the system of equations. Write your answer as an ordered pair . Y=x+3 and y=2x-1

Answer 1

I believe the answer would be (-3,-5).
Place the equations on top of each other and figure out how to cancel out one of the digits to get your answer. Try canceling out 2x. Multiply the entire equation y=x+3 by -2 to contradict the second equation. y=x(-2)+3(-2) then you'd get y=-2x-6. -2x-6 above 2x+1, solve. -2 and 2 cancel out so you're left with -6+1, therefore, y=5. Now that you have your y, you must solve for x. Using substitution to solve the equation (I picked 2x+1) you'd get -5=2x+1. Subtract 1 on both sides. +1-1=0 so that cancels out. -5-1=-6 and you're left with -6=2x. So you subtract 2 on both sides because 2 has the variable, and you are left with x=-3. Therefore, the answer is (-3,-5).