SOLUTION: Please help me this question y=13-4x 3x+2y=16 What is substitution

Algebra.Com
Question 1074462: Please help me this question
y=13-4x
3x+2y=16
What is substitution

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
y = 13-4x this is the value of y. We will substitute in the next equation. First, set the next equation in the same format, subtract 3x from both sides:
3x+2y = 16
2y = 16-3x now in this equation substitute for y:
2(13-4x) = 16-3x Distribute the 2 over the terms inside parenthesis (Distributive Properties of multiplication):
26-8x = 16-3x Subtract 16 and add 8x on both sides:
26-16-8x+8x = 16-16-3x+8x
10 = 5x flip the equation, we want the variable on the left (it doesn't change anything):
5x = 10 divide both sides by 5
x = 2
Now solve for y:
y = 13-4x
y = 13-4(2)
y = 13-8
y = 5
------------------
Check:
3x+2y = 16
3(2)+2(5) = 16
6+10 = 16 Correct

RELATED QUESTIONS

Please help me solve this equation tutor 3x+y+13 and 3x+2y=17 using... (answered by tutorcecilia)
what is the system of equations by the substitution method of this please help me... (answered by Alan3354)
I need help using the substitution method so can you help me solve this problem:... (answered by sdmmadam@yahoo.com)
please help me understand the difference between substitution and elimination method. use (answered by Theo,algebrapro18)
I need help desperately, I was absent throughout this entire section :( please help.... (answered by edjones)
:( I need help desperately, I was absent throughout this entire section :( please help. (answered by math-vortex)
I need to show this problem can be solved by substitution, can you please help me? -4x + (answered by richwmiller,solver91311)
please help me to solve this question what is the slope of 4x-2y=0... (answered by Alan3354)
please help me answer this question. its from "solving systems by substitution" they just (answered by stanbon)