All categories

3 years ago

Solve the system of equations. 7y + 10.x = -11 4y - 3x = -15

Mathematics

1 answer:

Sidana [21]3 years ago

7 0

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

40y-30x=-150 x's cancel out so solve for y

61y = -183

/61 /61

y = -3 insert y into either equation and solve for x

4(-3) -3x=-15

x = 1

You might be interested in

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Varvara68 [4.7K]

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

$\frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2}$

$\frac{4}{1} = \frac{y_2 - 6}{2}$

$4 = \frac{y_2 - 6}{2}$

Multiply both sides by 2

$4 \times 2 = \frac{y_2 - 6}{2} \times 2$

$8 = y_2 - 6$

Add 6 to both sides

$8 + 6 = y_2 - 6 + 6$

$14 = y_2$

The missing value is 14

6 0

3 years ago

Select each answer that is true

levacccp [35]

Answer:

rational

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1. (01.02) Given that f(x) = 4x – 3 and g(x) 2x-1, solve for g(f(2)). (5 points)

attashe74 [19]

Answer:

Step-by-step explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9

6 0

3 years ago

Sharon spent $3.45 on sunflower seeds. The price of the sunflower seeds is $0.89 per pound. How many pounds of sunflower seeds d

garik1379 [7]

Sharon bought about 3.8 pounds

8 0

3 years ago

Read 2 more answers

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are

LekaFEV [45]

Answer:

The total volume of the pieces of fruit in the can is $640\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can is equal to

$V=BH$

where

B is the area of the base of the can

H is the height of the can

we have

$B=75\ cm^{2}$

$H=10\ cm$

substitute

$V=(75)(10)=750\ cm^{3}$

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract the volume of syrup from the volume of the can

$750\ cm^{3}-110\ cm^{3}=640\ cm^{3}$

8 0

3 years ago

Read 2 more answers