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RSB [31]
4 years ago
13

What is the solution for this system of linear equations? {23x+4=y 4−2x=y

Mathematics
1 answer:
liubo4ka [24]4 years ago
3 0
We can subsitute since
23x+4=y and
4-2x=y
therefor
23x+4=y=4-2x
so
23x+4=4-2x
minus 4 on both sides
23x=-2x
add 2x to both sides
25x=0
divide both sides by... uh oh
I guess x=0

sub
4-2(0)=y
4-0=y
4=y

the solution is (0,4)
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What are the zeros of the polynomial function F(x) = xᶺ2 – 5x – 6?
zavuch27 [327]

First, you need to factor the function.  You can do this by finding a pair of numbers whose product is equal to the c term (-6) and whose sum is equal to the b term (-5).  These numbers are -6 and 1 (-6*1=-6, -6+1=5).  The factored expression takes the form:

(x+1)(x-6)=0

The zeroes can be found by flipping the signs in the parentheses.  The zeroes are equal to each number.

The zeroes are -1 and 6.

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6 0
3 years ago
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Write an equation in slope intercept form that passes through -2, 3 and Is parallel to the line with equation 3X +2y=6
soldier1979 [14.2K]

The equation of line is:  y=-\frac{3}{2}x as the y-intercept is zero

Step-by-step explanation:

Given

(-2,3)

Equation of line => 3x+2y=6

Converting the equation in slope intercept form

3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3

The co-efiicient of x is the slope of the fiven line

So,

m=-3/2

The line parallel to given line will have the same slope as slopes of two parallel lines are equal

Now,

Slope-intercept form is:

y=mx+b

Putting the value of slope

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to find the value of b, put (-2,3) in the equation

3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\

Putting the value of b and m

y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x

Hence,

The equation of line is:  y=-\frac{3}{2}x as the y-intercept is zero

Keywords: Slope-intercept form, Slope

Learn more about slope-intercept form at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

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3 years ago
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the answer is 6533m

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