Question

Choose the correct graph of the given system of equations.

y - 2x = -1
x + 3y = 4

graph of two lines, one with a positive slope and one with a negative slope, that intersect at the point (negative 1, 1)

graph of two lines that intersect at the point (1, 1)

graph of two parallel lines with positive slopes

None of the above

Answer 1

we can gather the slope of these equations using -a/b
so the first equation ahs a slope of 2/1
and the 2nd has a slope of -3/1

Answer 2

so they are not parallel

Answer 3

ohh ok

Answer 4

now test x=-1 and x=1 to see if they give the y-value shown in the point

Answer 5

but how do you find the y value

Answer 6

plug x and and if the y value agrees with the ones in the points for A or B
A (-1,1) when x=-1 y=1
B (1,1) when x=1 y=1

Answer 7

plug x into both equations and see if you get the correct y value for both

Answer 8

oh ok

Answer 9

so lets plug x and -1
y - 2x = -1 x + 3y = 4
y-2(-1)=-1 -1+3y=4
y+2=-1 3y=5
y=-3 y=5/3
so the answer is not A

Answer 10

ohh i understand now

Answer 11

now lets plug in x=1
y - 2x = -1 x + 3y = 4
y-2(1)=-1 1+3y=4
y-2=-1 3y=3
y=1 y=1
so B is correct

Answer 12

thank you so much

Answer 13

no problem

Answer 14

:)