Question

What is the solution set of the following system of equations?

5x - 3y - 10 = 0

x + y - 7 = 0


{(31/8, 25/8)}
{(25/8, 31/8)}
{(45/2, 31/2)}
{(31/2, 45/2)}

Answer 1

you have two unknowns and two equations
rearrange one equation and plug it into the second

Answer 2

for example
x+y-7=0
so x= 7-y
where you see x in equation one put in (7-y) and then solve for y
once you have that find x

Answer 3

y=25/8

Answer 4

yes and use either equation to find x
Good job

Answer 5

31/8

Answer 6

Solve this system algebraically.

7x - 2y = 4

5y + 3x = 10


{(-41/40, -41/58)}
{(41/40, 41/58)}
{(-40/41, -58/41)}
{(40/41, 58/41)}

Answer 7

same thing really, it's just a little tougher when you plug it in

Answer 8

the only part i dont get is when you have to rearrange the problem

Answer 9

it's an expansion of what you just did so let's rearrange the first one for y
\[y= \frac{ 7x-4}{ 2 }\]

Answer 10

x=20/38

Answer 11

check it again

Answer 12

10/19