All categories

3 years ago

How do I solve this?

Mathematics

2 answers:

aksik [14]3 years ago

4 0

Multiply the first equation by 2
4x-6y=16

Then add the equations to eliminate x
4x-6y=16
-4x+5y=-10

-y=6
y-=6

Plug the y value in
2x-3(-6)=8
2x+18=8
2x=-10
x=-5

Final answer: (-5,-6)

Anastaziya [24]3 years ago

4 0

2x -3y = 8 ---> y = 2/3x +-8/3

-4x +5(2/3x + -8/3) = -10
-4x + 10/3x + -40/3 = -10
-2/3x + -40/3 = -10
plus 40/3 on both side = -2/3x = 10/3
multiply both side by 3/-2 = -5

x = -5 y = -6

y = sub x into orginal equation

You might be interested in

A restaurant menu has five kinds of soups, seven kinds of main courses, six kinds of desserts, and five kinds of drinks. If a cu

ryzh [129]

Answer: 1050

Step-by-step explanation:

Number of combinations of selecting r things out of n = $^nC_r=\dfrac{n!}{r!(n-r)!}$

such that $^nC_1=n$

Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.

If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = $^5C_1\times \ ^7C_1\times\ ^6C_1\times\ ^5C_1 =5\times7\times6\times5=1050$

hence, total number of outcomes = 1050

3 0

3 years ago

Read 2 more answers

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x2 + 5x

nikdorinn [45]

Answer:

width: 15 inches; length: 20 inches

Step-by-step explanation:

The equation tells you the product of width (x) and length (x+5) is 300, so you're looking for factors of 300 that differ by 5.

300 = 1·300 = 2·150 = 3·100 = 4·75 = 5·60 = 6·50 = 10·30 = 12·25 = 15·20

The factors in the last pair on this list differ by 5, so we have ...

width = 15 inches
length = 20 inches

5 0

3 years ago

Find the base of an isosceles triangle whose area is 60 cm2 and the length of one of its equal sides is 13 cm

Karolina [17]

Answer:

b≈10cm

24cm

Step-by-step explanation:

5 0

3 years ago

Multiply and write in standard form:<br> (2x)(x^2 - 6x + 3)<br> Show all work for full credit.

Mashcka [7]

2x(x2-6x+3)

4x^3-12x^2+6x

3 0

2 years ago

Please help URGENT PLEASE I NEED HELP HELP HELP

Thepotemich [5.8K]

Answer: HCA OR ACH

Step-by-step explanation:

8 0

1 year ago