3 years ago

(567)3-a=(678) What does a equal

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

$a=1023$

Step-by-step explanation:

$We\ are\ given:\\(567)3-a=678\\Hence,\\1701-a=678\\1701-678=a\\1023=a\\a=1023$

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Use elimination method to solve<br> 5x+y=-10<br> 7x-3y=-36

k0ka [10]

$5x+y=-10\\ \\ 7x-3y=-36$

Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)

$3\cdot (5x+y)=3\cdot -10\\ \\ 15x+3y=-30$

Now let's add this new equation and our second equation.

$7x-3y=-36\\ \\ 15x+3y=-30\\ \\ (15x+3y)+(7x-3y)=(-30)+(-36)\\ \\ 15x+7x+3y-3y=-30-36\\ \\ 22x=-66\\ \\ x=\frac { -66 }{ 22 } \\ \\ x=-3$

We found x=-3

Now let's plug x's value in one of the equations to find y's value.

$x=-3\\ \\ 5x+y=-10\\ \\ 5\cdot -3+y=-10\\ \\ -15+y=-10\\ \\ y=-10+15\\ \\ y=5$

So we found y=5

Solution ;

(-3, 5)

7 0

3 years ago

The perimeter of a rectangle is 60ft. The length of the rectangle is three times the width. Find the dimensions of the rectangle

spayn [35]

Hope this makes since