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MissTica
2 years ago
6

For what values of a can you solve the linear system ax+3y=2 and 4x+5y=6 by elimination without multiplying first?

Mathematics
1 answer:
coldgirl [10]2 years ago
5 0

Answer:

a=-4

Step-by-step explanation:

ax+3y=2 and 4x+5y=6

In elimination method we try to eliminate one variable

To eliminate one variable we need to make the coefficients same with different sign

to eliminate the variable x  we need to make the number before x same and with different sign

In the second equation the coefficient of x is 4

so the value of 'a' should be -4 to eliminate

a=-4

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Having a hard time finding the area
Marina CMI [18]

Answer:

For the triangle, the area is 7.5 in.

For the trapezoid, the area should be 90 cm

Step-by-step explanation:

The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h

5 0
3 years ago
Challenge A movie theater sends out a coupon for 15% off the price of a ticket. Write an equation
marshall27 [118]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

4 0
2 years ago
Lorie is using long division to find the quotient of 13 + 6r2 + 5 and 12 + 1 – 1, as shown.
yawa3891 [41]

Answer: she combined the constants incorrectly in the last step.... i just got it right on the test

6 0
3 years ago
Read 2 more answers
What is the constant in the expression 4x + 2
rosijanka [135]

Answer:

the constant is 2

Step-by-step explanation:

since 2 is alone without any variables

4 0
2 years ago
A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
mestny [16]

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

  • perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

  • l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul

8 0
2 years ago
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