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2 years ago

Solve they system by addition 7x-2y=3 4x+5y=3.25

Mathematics

1 answer:

noname [10]2 years ago

4 0

Answer: x = 2/7y + 3/7 and

x= -5/4y + 0.8125

Step-by-step explanation: Let's solve for x.

7x−2y=3

Step 1: Add 2y to both sides.

7x − 2y + 2y= 3 + 2y

7x = 2y + 3

Step 2: Divide both sides by 7.

7x/7 = 2y+3/7 this is for the second answer Step 1: Add -5y to both sides.

4x+5y+−5y=3.25+−5y

4x=−5y+3.25

Step 2: Divide both sides by

4/4 x 4 = −5y + 3.25/4

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The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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