What is the solution of the system? use elimination, i need the steps... x+3y=1 and -5x+4y=-24?

Question

whpalmer4 · Answer

$$x+3y=1$$$$-5x+4y=-24$$

Do you see any numbers that could be multiplied with the first equation to give you an equation that has an equal but opposite in sign coefficient with the second equation?

whpalmer4 · Answer

What if you multiply the first one by 5?

anonymous · Answer

like, so the equations are equal?

whpalmer4 · Answer

Multiply the first equation by 5:
$$5*x + 5*3y = 5*1$$$$5x+15y=5$$Add that to the second equation:
$$-5x+4y=-24$$------------------$$5x-5x+15y+4y=5-24$$$$0x+19y=-19$$$$19y=-19$$$$y=$$

Now you can take that value of $y$ and put it into either of the original equations and find the value of $x$.