Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
First, you need to use the points to come up with a m (slope). To do this you must use the equation m= y2-y1/x2-x1. label the x in one pair of coordinates x1 and the y, y1. Then label the other x in the other pair of coordinates x2 and the y, y2. use the equation and figure the slope. Next, put the easiest coordinates into point-slope form. The equation you are to use is... y-y1=m(x-x1). Input the values and then distribute the m inside the parenthesis. Then you should be able to do the rest. The final product should be in slope-intercept form.
5x−y=4
Solve for y
.
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y=−4+5x
Rewrite in slope-intercept form.
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y=5x−4
Use the slope-intercept form to find the slope and y-intercept.
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Slope: 5
y-intercept: (0,−4)
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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xy0−4450
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: (0,−4)
xy0−4450
Answer:
x = 2
x = -4
x = -3/2
Step-by-step explanation:
We need to find the roots of the equation
2x^3 + 7x^2 – 10x – 24 = 0
We can factorize the equation into
(x-2)(x+4)(2x + 3) = 0
Roots
x = 2
x = -4
x = -3/2
The answer to your question is also attached in the images below
Answer:
63
Step-by-step explanation:
<u>When dividing by a fraction, it is the same a multiplying that fraction but the reciprocal of it.</u>
21 / 1/3 is same as 21 * 3/1
63
Answer: 63
