Question

solve the system of equations.
y = 3x + 2
x - 2y = 10
I hope someone maybe able to help me I am really confused

Answer 1

first write them in the same form
y = 3x + 2
2y = x - 10

now multiply the first equation by -2
then add it to second equation
this will eliminate y and you can solve for x

Answer 2

so we get
-2y = -6x - 4
2y = x - 10

adding them eliminate y;-
0 = -5x - 14

Answer 3

can you solve this for x?

Answer 4

I am still a little confused sorry

Answer 5

we are using the elimination method
if we can get an equation with the value of term in x or y such that when we add the 2 equations we can eliminate the term is x or y then we get an equation in only one unknown .

Answer 6

and getting the 2 equations in same form first mad it easier to add them

Answer 7

I understand a little better now

Answer 8

ok so we solve
0 = -5x - 14
add 5x to both sides
5x = -14
x = -14/5 = -2.8

Answer 9

so we have found the value of x
to find the value of y we just substitute x = -2.8 into one of the original equations y = 3x + 2

so
y = 3(-2.8) + 2

Answer 10

can you do that calculation?

Answer 11

-6.4 would be answer

Answer 12

yes

Answer 13

so the solution set is {-2.8,-6.4}

Answer 14

x is first value , y the second