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xeze [42]
3 years ago
12

Solve the following system of equations2x – 3y = 64x+2y=4​

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

2x-3y=6 \rightarrow -4x+6y=-12

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

8y=-8

Divide both sides by 8.

y=-1

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

4x +2(-1)=4

Simplify.

4x -2=4

Add 2 to both sides.

4x=6

Divide both sides by 4.

x=\frac{6}{4} \rightarrow\frac{3}{2}

The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

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Sin =9/15 . Find tan 0
ELEN [110]

Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

sin =  \frac{opp.}{hyp.}

tan =  \frac{opp.}{adj.}

thus, find adj. side

by using Pythagoras theorem

{c }^{2} =   {a}^{2}  +  {b}^{2}

then,

let adj. side be a^

{a}^{2}  =  {c}^{2}  -  {b }^{2} \\  {a}^{2}   =  {15 }^{2}  -  {9}^{2}  \\  {a}^{2}  = 144 \\ a = 12

thus,

adj. side is 12

then,

tan of the angle = 9/12

3 0
3 years ago
Solve for xxx. 12x+7 4012x+7 4012, x, plus, 7, is less than, minus, 11, start color #ed5fa6, start text, space, O, R, space, end
gregori [183]

Answer:

<h2>x < -3/2 and x>48/5</h2>

Step-by-step explanation:

Given  the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.

For the inequality 12x+7< -11

Step 1: Subtract 7 from both sides of the inequality

12x+7-7< -11-7

12x < -18

Step 2: Divide both sides of the inequality by 12

12x/12 < -18/12

x < -3/2 .............. 1

For the inequality 5x-8> 40;

Step 1: Add 8 to both sides of the inequality

5x-8+8 > 40+8

5x > 48

Step 2: Divide both sides of the inequality by 5

5x/5 > 48/5

x>48/5....... 2

Combining equation 1 and 2, we will have;

x < -3/2 and x>48/5

If x>48/5 then 48/5<x

Combining 48/5<x with x < -3/2  will give  48/5<x<-3/2

4 0
3 years ago
The diagram shows corresponding lengths in two similar figures. Find the ratio of the perimeters and the ratio of the areas.
GREYUIT [131]

15:20

divide each by 5

3:4

to find the ratio of the area's we square the ratio's of the sides

3^3 : 4^2

9:16


Choice B

7 0
3 years ago
Help no links please u^u
Veseljchak [2.6K]

Answer:

∠A= 80°

Step-by-step explanation:

if they are supplementary then put them equal to 180

7x + 3 +7x + 23 = 180

14x + 26 = 180

14x = 154

x= 11

now plug in

7(11)+3

77+3= 80

3 0
3 years ago
Please give an explanation thank youuu<br> Write √216 as a power of 6
Nesterboy [21]

Answer:

solution

here,

<h3>the power of route 216 of 6 is 6to the power 3</h3>
3 0
2 years ago
Read 2 more answers
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