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loris [4]
3 years ago
9

What is the solution to the system of equations? y = –5x + 3 y = 1

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
Ok so we know that y=1 so we can simply sub in the value of y into the equation :

y = -5x +3

1 = -5x +3

Move the -5x to the LHS ( Left-hand-side ) therefore it changes sign as well move 1 to the RHS ( Right-hand-side ) it also changes sign.

5x = 3 - 1

5x = 2

x = 2/5

x = 0.4

Hope this helps :).
neonofarm [45]3 years ago
7 0
Y=-5x+3

y=1
Replacing for the first equation;
1=-5x+3
-5x=-2
x=\frac{2}{5}
x=0.4
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
ExtremeBDS [4]

Answer:

y\geq x-2

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Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

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(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0+2}{2-0}

m=\frac{2}{2}

m=1

The equation in slope intercept form is equal to

y=mx+b

we have

m=1

b=-2 ---> the y-intercept is given

substitute

y=x-2

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

y\geq x-2

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0-2}{4-0}

m=\frac{-2}{4}

m=-\frac{1}{2}

The equation in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{2}

b=2 ---> the y-intercept is given

substitute

y=-\frac{1}{2}x+2

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

y

Rewrite

Multiply by 2 both sides

2y

x+2y

therefore

The system of inequalities is

y\geq x-2

x+2y

see the attached figure to better understand the problem

5 0
3 years ago
Read 2 more answers
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