Solve the system of equations.
4x+3y=13
y=-x+14

Question

Solve the system of equations.
 4x+3y=13
y=-x+14

mendicant_bias · Answer

Alright, you can either solve it using substitution or elimination; do you have a preference, or is there a particular way you *have* to do this?

anonymous · Answer

so you plug in x plus 14 for y and whats 14 times 3

anonymous · Answer

negative x im sorry

mendicant_bias · Answer

Going to go with substitution; where $$(1) \ \ \ 4x+3y=13,$$$$(2) \ \ \ y = -x+14,$$Plug in (2) into 1: $$4x+3(-x+14)=13.$$

anonymous · Answer

@Mendicant_Bias  nope

mendicant_bias · Answer

Alright; do you understand how to solve it from what I've posted above? That last line should be easy to do.

anonymous · Answer

i think

mendicant_bias · Answer

Alright, take a shot at it. Get x by itself on one side, and get everything else on the other side.

anonymous · Answer

cant get it:(

mendicant_bias · Answer

Do you know how to add and subtract things?

anonymous · Answer

well yeah

mendicant_bias · Answer

$$4x+3(-x+14)=13$$

mendicant_bias · Answer

Alright, when you look at that, what do you think you should first do? First step involves getting rid of those parentheses.

anonymous · Answer

ok so you distribute the three that gives you -3x and 42 so (4x -3x+ 42 + 13)

anonymous · Answer

add like terms so then you get 1x + 42=13

anonymous · Answer

subtract 42 from 13

anonymous · Answer

x=?

anonymous · Answer

29

mendicant_bias · Answer

(If you give people the answer, they won't learn.) 

Glorm did the right thing, I'd answer his question.

anonymous · Answer

x= -29

anonymous · Answer

you can check your work by plugging in x