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Vsevolod [243]
3 years ago
6

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

y=mx+b\\y=x-2

<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>

<em>Find if both graphs are parallel, that means the equation must be false.</em>

<em />x-2=-\frac{5}{2}x+5<em />

<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>

<em />2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2<em />

<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>

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What is the solution of the simultaneous equations 3x 2y 14 and 4x 3y 13?.
lara31 [8.8K]

The solution of simultaneous equations is x=4 and y = -1.

<h3>What are Simultaneous equations?</h3>

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

      3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

 9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

To know more about simultaneous equations, visit

brainly.com/question/16863577

#SPJ4

<u>NOTE</u> : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.

6 0
9 months ago
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