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tatyana61 [14]
3 years ago
11

Solve the system using elimination.

Mathematics
2 answers:
KIM [24]3 years ago
7 0
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs.  I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
 21x  +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3.  Now plug that 3 into either one of the original equations to find the y value.  Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4.  so your solution is (3, -4) or B above.
fiasKO [112]3 years ago
4 0

Answer:(3,-4)

Step-by-step explanation:

Given equations are

-10x-3y=-18---------------1

-7x-8y=11-------------------2

From 1

18-3y=10x

x=1.8-0.3y

substitute the value of x in equation 2

-7\left ( 1.8-0.3y\right )-8y=11

-5.9y=23.6

y=-4

thus x=1.8+1.2

x=3

Thus (x,y)=(3,-4)

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If a heptagon has an area of 105 in2, what is the measure of one side ?
kumpel [21]

Answer:

5.38 inches

Step-by-step explanation:

The formula for Area of an Heptagon

= A=7/4a²cot(180°/7)

Area = 105in²

Side a = ?

The formula for Side a

= √4A ×tan (180°/7)/7

= √4 × 105 × tan (180°/7) /7

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3 years ago
Read 2 more answers
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Svet_ta [14]
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1 year ago
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If you are working with less than, or greater than. If there is a negative do you switch the sign? For example 9t-4>32
kirill [66]

Answer:

Rule:  If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.

Step-by-step explanation:

Your job here is to simplify 9t-4>32, in which the variable (t) is already positive.  Here you do NOT switch signs or reverse the direction of the inequality symbol.  Adding 4 to both sides, we get 9t > 36, or t > 4.

If, however, you had  -9t-4>32 to work with, the situation would be different because t in this inequality is negative.  Adding 4 to both sides results in:

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3 years ago
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