WILL MARK BRAINLIEST! PLZ HELP ASAP;;;
1 answer:
Answer:
(x, y) = (5, 7)
Step-by-step explanation:
It can be useful to put these equations into standard form, with mutually-prime coefficients and a positive x-coefficient.
10x +y -(4x +4y) = 9 . . . . . subtract the variable terms on the right
6x -3y = 9 . . . simplify
2x -y = 3 . . . . . divide by 3 to put in standard form
__
(x +10y) -(10x +y) = 18 . . . . . subtract the variable terms on the right
-9x +9y = 18 . . . simplify
x -y = -2 . . . . . . . divide by -9 to put in standard form
__
Now, we can subtract the second equation from the first.
(2x -y) -(x -y) = 3 -(-2)
x = 5
y = x+2 = 7 . . . from the second simplified equation
The solution is (x, y) = (5, 7).
You might be interested in
Answer:
<h2>M = ( 5 , 2)</h2>Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(12,9), B(-2,-5)
The midpoint M is
We have the final answer as
<h3>M = ( 5 , 2)</h3>Hope this helps you
2x - 3y = - 13
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equation in slope-intercept form
y = mx + c ( m is the slope and c the y-intercept )
calculate m using the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (- 2, 3 )
m = =
=
y = x + c ← partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 5 ), then
5 = + c ⇒ c =
rearrange the equation into standard form
multiply through by 3
3y = 2x + 13 ( subtract 3y and 13 from both sides )
2x - 3y = - 13 ← in standard form