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3 years ago

10

What is the solution of the system of equations? y= -3x+8 y= -5x-2

2 answers:

Crazy boy [7]3 years ago

5 0

Y = -3x+8
y = -5x-2
------------
y = 5(-3x+8)
y = 3(-5x-2)
---------------
y = -15x+40
y = -15x-6
--------------
y = -15x+40
- -
y = -15x-6
--------------
y = 46
<span>
y = -3x+8
</span>46 = -3x+8
-8   -8
---------------
38 = -3x
----    ----
-3 -3
12.666...=x
(<span>12.666.,46) </span>← Answer

belka [17]3 years ago

5 0

Remember you can do anything to an equation as long as you do it to both sides

notice that they both equatl y
therefor they are equal
-3x+8=y=-5x-2
-3x+8=-5x-2
add 5x to both sides
2x+8=-2
minus 8 from both sides
2x=-10
divide by 2
x=-5

plug in -5 for x in any equation to evaluate y

y=-3x+8
y=-3(-5)+8
y=15+8
y=23

the solution is
x=-5
y=23

(-5,23)

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3 years ago

The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche

serg [7]

Answer:

The measure of the fourth side is $\frac{7}{3}$ .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store = ( 10 + $\frac{5}{6}$ ) inches

The measure of three sides of rectangle = ( 8 + $\frac{1}{2}$ ) inches

So, The measure of three sides = length + breadth + length

I,.e 2 L + B = ( 8 + $\frac{1}{2}$ ) inches .....1

∵ perimeter = ( 10 + $\frac{5}{6}$ ) inches

So , 2 L + 2 B = ( 10 + $\frac{5}{6}$ ) inches

Or, 2 L + B + B = ( 10 + $\frac{5}{6}$ ) inches

Or, ( 8 + $\frac{1}{2}$ ) + B = ( 10 + $\frac{5}{6}$ )

or, B = ( 10 + $\frac{5}{6}$ ) - ( 8 + $\frac{1}{2}$ )

Or, B = 10 - 8 + ( $\frac{5}{6}$ ) - $\frac{1}{2}$

or, B = 2 + $\frac{5-3}{6}$

or, B = 2 + $\frac{1}{3}$

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Hence The measure of the fourth side is $\frac{7}{3}$ . Answer

7 0

3 years ago

Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro

blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations c = child ticket a = adult ticket

eq 1) 2c + 1a = 8.2 multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

eq 1a) 4c + 2a = 16.4

eq 2) 3c + 2a = 14.1

subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1

c + 0 = 2.3 euros for one child ticket

Now find the adult ticket price, plug 2.3 for c into eq 1)

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eq 1) 2(2.3) + 1a = 8.2 solve for a

4.6 + a = 8.2 substract 4.6 from both sides

a = 8.2 - 4.6

= 3.6 euros for one adult ticket

double check using eq 2) we know c and a values

eq 2) 3c + 2a = 14.1

eq 2) 3(2.3) + 2(3.6) = 14.1

6.9 + 7.2 = 14.1

14.1 = 14.1

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3 years ago

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3 years ago

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