All categories

3 years ago

6x+15y=-45;6x+5y=-35 How can you order a ladder work sheet

Mathematics

1 answer:

Alina [70]3 years ago

8 0

6x+15y=-45
-6x-5y =35 (multiplied by -1)
=10y = -10 (added)
y = -1
************
6x+15(-1)=-45
6x=-45-(-15) = -30
x = -5

You might be interested in

Match the system of equations on the left with the appropriate solution on the right.

VARVARA [1.3K]

Answer:

$x=7-2y$ $(1,3)$

$3x+6y=-9$ $(-1,-1)$

$4x-2y-3$ $\text{no solution}$

$2x+4y=7$ $\text{infinite number of solutions}$

$x=-2y-3$ $(1,-2)$

Step-by-step explanation:

1: $x=7-2y$

$\Rightarrow x+2y=7$

$\Rightarrow (1,3)\;\text{is a solution of the above equation}.$

2: $3x+6y=-9$

$\Rightarrow 3(-1)+6(-1)=-3-6=-9$

$\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.$

3: $4x-2y-3$

$\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}$

4: $2x+4y=7$

$\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}$

5: $x=-2y-3$

$\Rightarrow x+2y=-3$

$\Rightarrow 1-2(-2)=1-4=-3$

$\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.$

7 0

3 years ago

Factor 15x3-5x+6x-2 by grouping. What is the resulting expression?

cricket20 [7]

Answer: (5x2 + 2)(3x – 1)

Step-by-step explanation:

8 0

4 years ago

Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution

kykrilka [37]

Use c1v1+c2v2=c3v3
where c=concentration, v=volume.

C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L

Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L

check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0 so solution is good.

Answer: Volume of 36% solution is 10L

6 0

3 years ago

Jase's farm has 9 chickens, each of which laid 3 egg. Jase's farm has 4 horses. Edna's farm has chicken which laid a total of 23

olchik [2.2K]

3*9= 27
23/9= 2.5
If they have the same number of chickens.
There ya go

6 0

4 years ago

I need help now :)<br><br> ...........

vaieri [72.5K]

Step-by-step explanation:

-2x² + 5x - 3 - (-7 - 9x + 5x²)

= -2x² + 5x - 3 + 7 + 9x - 5x²

= -7x² + 14x + 4.

Hence the coefficient of the x term is 14.

3 0

3 years ago