Subsitution Method
Hurry! Hurry! We must solve this equation in order to make it through the forest! The equation is -3x - 4y= 4 and x + 2y= 2! It looks like the best way to solve this system of linear equation by the SUBSITUTION METHOD! Here to help us with this equation is the Tinman, but first let us oil him up since he is a little rusty!
Ahhh! Now that feels better. Okay, the best way to solve this linear equation is by the subsitution method as you already know. In order to begin solving the equation you must first set up the equation. Start by taking x + 2y= 2 and subtract the 2y to the other side of the equation. Your equation should appear like this x= -2y + 2.
After solving one equation for one of the variables you will then plug the x= -2y = 2 into the -3x - 4y= 4. Your equation will then appear -3(-2y + 2) - 4y= 4. Then just multiply -3(-2y + 2) which is 6y + -6 - 4y= 4 and add your -6 across the y=. After adding your equation would be 6y - 4y= 10 the next step would be to subtract your 6y from your 4y. Your equation should then appear 2y= 10 then just simply divide your 2 across and your final answer should be y= 5.
You then SUBSITUTE the y= 5 into the y spot of the equation! I picked the x + 2y= 2. Your equation should then appear x + 2(5)= 2. You then multiply and carry your ten across the equals sign and your equation should appear x= -8. After getting your two values you can then plug them into both equations to check and see if you got your answer right. After checking you answers then place them as a point (-8,5). You place your answer as a point because the point is where the two lines intersect.