Using the x,y format where does the graph of 3x+3 and -5×+7 intersect

Mathematics

2 answers:

IRINA_888 [86]3 years ago

8 0

Not sure if I'm right but I believe they intersect at (1,4).

denis-greek [22]3 years ago

5 0

Assuming they equal y

y=3x+3
y=-5x+7
set eqal to each other since both equal y
3x+3=-5x+7
add 5x both sides
8x+3=7
minus 3 both sides
8x=4
divide by 8 both sides
x=1/2
sub back

3x+3=y
3(1/2)+3=y
1.5+3=y
4.5=y
9/2=y

x=1/2
y=9/2
(1/2,9/2) is soltuion

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Solve the system of linear equations by substitution

Bond [772]

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).