A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11)
Answers
Answer:
( m, n) = ( -6 , 11) .
Step-by-step explanation:
Given : A system of equations is shown below: n = 3m + 7
n − 2m = 1.
To find : What is the solution, in the form (m, n), to the system of equations.
Solution : We have given
n = 3m + 7 ------(1)
n − 2m = 1
We can write it as n = 1 + 2m -----(2)
In equating both equation (1) = (2).
n = n
3m + 7 = 1 +2m.
On subtracting both sides by 2m
3m - 2m + 7 = 1.
m + 7 = 1
On subtracting by 7 both sides
m = 1 - 7.
m = -6.
On plugging the value of m = -6 in equation 1.
n = 3m + 7
n = 3 (-6) + 7.
n = -18 + 7.
n = -11.
Then solution ( m, n) = ( -6 , 11) .
Therefore, ( m, n) = ( -6 , 11) .
n-2 m=1 | -2 m => n=1+2m
n=3 m+7
n=1+2 m
n=n
3m+7=1+2m |-7 and -2m
m = -6
n=1+2m
n=1+2*(-6)
n=-11
(-6,-11)
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Answers
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Step-by-step explanation:
Answers
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y = 3x + 5
3x - y = 5
Answers
Answer:
Step-by-step explanation:
Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.
y = 3x + 5
3x - y = 5
3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5
There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.
3x - y = 5
-y = -3x + 5
y = 3x -5
When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.
Answers
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The first step is to find k, the constant of variation. This number will not change in the equation for finding volume or pressure.
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multiply both sides by 36.
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B. x= 50 °
C. x= 85 °
D. x= 135 °
Answers
Answer: The correct option is (A) 45.
Step-by-step explanation: We are given that triangles ABC and EFG are congruent to each other, where
We are to find the value of x.
We know that the corresponding angles of congruent triangles have equal measures.
So, m∠A = m∠E, m∠B = m∠F and m∠C = m∠G.
Also, since the sum of three angles of a triangle is 180 degrees, so from triangle ABC, we get
Thus, the required value of x is 45.
Option (A) is CORRECT.
Answer:
A. x = 45
Step-by-step explanation:
m<C = m<G = 85°
m<A + m<B + m<C = 180°
50° + x° + 85° = 180°
x = 45