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e-lub [12.9K]
3 years ago
6

3x + 5y = 7 4x + 3y = 2 Both x and y have to be the same numbers!

Mathematics
2 answers:
Valentin [98]3 years ago
7 0
I think there was a something wrong in you question because the answer does not be the same as you want
Black_prince [1.1K]3 years ago
4 0
Simultaneous Equations:
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)

-9x - 15y = -21
20x+15y =10        (-15y and and+15y cancels out)

11x = -11
\frac{11x}{11} = \frac{-11}{11} (11 and 11 cancels out)
x= -1
substitute the x we found into either original expressions

3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
\frac{5y}{5}=\frac{10}{5} (5 and 5 cancels out)
y=2 
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2

3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7

x= -1
y= 2

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Write the equation in slope-intercept form.<br> 5x +<br> 5y = 35
vekshin1

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   5x + 5y = 35

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form.</em>

  1. Subtract 5x on both sides:                    5y = -5x + 35
  2. Divide 5 on both sides:                         y = -x + 7
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2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>

5. y = -4/3x + 6

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