Q. Find the solution to the system of equations.You can use the interactive graph below to find the solution.{y=−4x−3y=−2x+1x=y=
Set Equations Equal: Set the two equations equal to each other to find the x-coordinate of the solution.Since both expressions are equal to y, we can set them equal to each other:−4x−3=−2x+1
Solve for x: Solve for x.To isolate x, we'll first add 4x to both sides of the equation to get rid of the −4x on the left side:−4x+4x−3=−2x+4x+1This simplifies to:−3=2x+1Next, we subtract 1 from both sides:−3−1=2x+1−1Which simplifies to:−4=2xNow, we divide both sides by 2 to solve for x:4x0This gives us:4x1
Substitute x Value: Substitute the value of x into one of the original equations to find the y-coordinate of the solution.We can use either equation, but we'll use the first one for this example:y=−4(−2)−3
Calculate y Value: Calculate the value of y.Now we multiply −4 by −2 and then subtract 3:y=8−3y=5