Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
Answer:
x=4.5 and y= -6
Step-by-step explanation:
2x+5y= -21
-2x+3y= -27
add the two equations: 8y= -48
y=-48/8= -6
sub for y in 2x+5y= -21
2x + 5(-6)=-21, 2x-30= -21
2x= -21+30= 9
x= 9/2=4.5
The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Kendrick was given the equations:
Step 1: 4x+2y=14 ...(1)
3x-y=23 ...(2)
From the equation first:
Step 2: 2y = 14 - 4x
Step 3: y = 7 - 2x put this value in the second equation
Step 4: 3x - (7 - 2x) = 23
Step 5: 3x -7 +2x = 23
Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1
Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Express x from first equation:
x = y - z - 1
Replace x with found value in second equation and solve it:
y - z - 1 + y + z = 5
2y - 1 = 5
2y = 6
y = 3
Replace x with found value in third equation:
y - z - 1 + y - z = -3
Replace y with found value in this equation and solve it:
3 - z -1 + 3 - z = -3
-2z = -3 - 3 + 1 - 3
-2z = -8
2z = 8
z = 4
Find x by replacing y and z in first equation and solving it:
x = y - z - 1
x = 3 - 4 - 1 = -2
So x = -2, y = 3, z = 4
Answer:
6
Step-by-step explanation:
Prime factorization of 18 = 2 × 3 × 3
Prime factorization of 24 = 2 × 2 × 2 × 3
Common factors of 18 and 24 = 2 × 3 = 6
HCF (18,24) = 6