Solve with the help of graph 3x+5y=12, 3x-5y+18=0
Answers
Answer:
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Step-by-step explanation:
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Answer:
will be much easier to plug in values if the equation is in standard form (so that
y
is isolated). First, subtract
3
x
from each side. This gives you:
5
y
=
−
3
x
+
12
.
Next, divide each side by 5 to isolate
y
.
y
=
−
3
x
+
12
5
You can do the distributive property to get it to truly standard form, but it'll be pretty easier from here.
Pluggin' in values
I always find it helps to make a table, but however you want, find a way to record. Pick a simple value for
x
. Let's say 1. Your equation would look like this:
y
=
−
3
(
1
)
+
12
5
Work that out...
−
3
+
12
=
9
,
9
5
=
1
4
5
. So you have your first coordinate,
(
1
,
1
4
5
)
.
Try another! Let's have
x
=
4
. So...
y
=
−
3
(
4
)
+
12
5
Well,
−
3
⋅
4
=
0
, and
0
5
=
0
, so your coordinate is
(
4
,
0
)
. Now that you have two points, plot them on a graph, and draw a line connecting them!
graph{y = (-3x +12)/5 [-8.89, 8.89, -4.444, 4.445]}