Mathematics, 23.07.2019 18:30 changemyfate69

Need asap a: 10x − 4y = 20 b: 8x + 6y = 14 solve this system of equations using addition. show all of your work. also list the property that you use in each step

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X = 44/23 and y= -5/23.

We want the coefficient of one of the variables to be the same in both equations; we can multiply the top equation by 3 and the bottom equation by 2 to make the coefficients of y equal:
3(10x-4y=20) → 30x-12y=60
2(8x+6y=14) → 16x+12y=28

This is possible due to the multiplication property of equality.

Now that the coefficients of y are the same, we can add the equations together (using the addition property of equality):
30x+16x = 60+28
46x = 88 (addition of like terms)

Divide both sides by 46:
46x/46 = 88/46 (division property of equality)
x = 88/46 = 44/23

Now we substitute x into the first equation:
10(44/23) - 4y = 20
440/23 - 4y = 20

It will be easier to solve this if we have a common denominator; 20 wholes = (20*23)/23 = 460/23;

440/23 - 4y = 460/23

Subtract 440/23 from both sides (subtraction property of equality):
440/23 - 4y - 440/23 = 460/23 - 440/23
-4y = 20/23

Divide both sides by -4 (division property of equality):
-4y/-4 = 20/23 ÷ -4/1
y = 20/23 × -1/4 = -20/92 = -5/23

Answer from: Quest

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in $\delta bea$ and $\delta dea$ ;

$ba=da$ , as these are radii of our given circle.

$ea=ea$

therefore, $\delta bea\cong \delta dea$ by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

$3x-24=x+10$

$3x-x=24+10$

$2x=34$

$x=\frac{34}{2}$

$x=17$

now let us substitute x=17 in the expression for the length of be.

$\text{length of be}=3x-24$

$\text{length of be}=3\cdot 17-24$

$\text{length of be}=51-24$

$\text{length of be}=27$

therefore, length of be will be 27 units and option c is the correct choice.

In circle a, ∠bae ≅ ∠dae. what is the length of be? 14 units 17 units 27 units 34 units

Answer from: Quest

answer: ay

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(sube, sube)

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