Answer:
b
Step-by-step explanation:
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Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
Answer:
y=-3x-2
Step-by-step explanation:
step 1- find the slope
parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3
step 2- use the point slope form which is y-y1=m(x-x1)
and substitute in the numbers (only substitute y1,x1, and m)
m is the slope which we found to equal -3
x1 and y1 are the points that they gave us (-2,4) are (x1,y1)
x1=-2
y1=4
step 3- substitute
y-y1=m(x-x1)
y-4=-3(x-(-2))
simplifies to y-4=-3x-6
add 4 to both sides to get y=-3x-2
The value of a is 0.10.
The value of b is 20.78.
The value of c is 0.02.
<h3>
What are the missing values?</h3>
When two variables have inverse variation, the two variables move in opposite directions. If one variable increases, the other decreases.
p = 8.31 / V
V = 8.31 / p
a = 8.31 / 83.1 = 0.10
b = 8.31 / 0.4 = 20.78
c = 8.31 / 415.5 = 0.02
To learn more about inverse relationships, please check: brainly.com/question/25748643
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