Match the system of linear equations, to its graph.
1 answer:
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So you have
25x+10y=24
and
x+y=20
you can eith er subsitue or add
let's add
mutliply x+y=10 by -10
-10x-10y=-200
add to first equation
25x+10y=24
<u>-10x-10y=-200 +
</u>15x+0y=-176
15x=-176
divide both sides by 15
x=-176/15
subsitue
x+y=20
-176/15+y=20
add -176/15 to both sides
y=476/15
solution
(x,y)
(
, 
<u />
25x+10y=24
and
x+y=20
you can eith er subsitue or add
let's add
mutliply x+y=10 by -10
-10x-10y=-200
add to first equation
25x+10y=24
<u>-10x-10y=-200 +
</u>15x+0y=-176
15x=-176
divide both sides by 15
x=-176/15
subsitue
x+y=20
-176/15+y=20
add -176/15 to both sides
y=476/15
solution
(x,y)
(
<u />
Answer:
The slope-intercept form of the equation of this line is:
Hence, option 'c' is true.
Step-by-step explanation:
From the line equation, let us take two points
- (1, -1)
- (-1, 1)
Finding the slope between two points
From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0
at x=0, y=0
Thus, (0, 0) is the y-intercept
We know that the slope-intercept form of the line equation is
y=mx+b
where
- m=slope
- b=y-intercept
As we have already determined m=-1 and y-intercept=b=0
so substituting m=-1, b=0 in the slope-intercept form of the line equation
Thus, the slope-intercept form of the equation of this line is:
Hence, option 'c' is true.