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Zepler [3.9K]
3 years ago
13

Solving a system of linear equations using the substitution method. 5x+4y=-26 5-x=-6y

Mathematics
2 answers:
yan [13]3 years ago
5 0
Solve for x in 2nd equation
times -1 both sides
x-5=6y
add 5
x=6y+5

sub

5(6y+5)+4y=-26
30y+25+4y=-26
34y+25=-26
minus 25 both sides
34y=-51
divide both sides by 34
y=-3/2
sub back

x=6y+5
x=6(-3/2)+5
x=-18/2+5
x=-9+5
x=-4


(-4,-3/2) is solution
Naddik [55]3 years ago
5 0
We write x in terms of y in order to substitute using the second equation
-x=-6y-5
x= 6y+5

We substitute what we got above in the first equation 
5(6y+5)+4y=-26

We solve for y
30y+25+4y=-26
34y+25=-26
34y=-51
y=-51/34

Then we plug what we got for y back in our first equation in order to get the value of x as well

x=6(-51/34)+5
x=-4

So the solutions are:
x=-4
y=-1.5
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3 years ago
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
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Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

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y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

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