Answer:
1: a=31/2 - 3s/2 2: a=243/16 - 23s/16
Step-by-step explanation:
value of x= -3 and value of y = -12
Solution set is (-3,-12)
Step-by-step explanation:
We need to solve the system of equations using substitution
The system of equations are:
Solving:
Let
Solving:
Putting value of y from equation 1 into equation 2
So, value of x = -3
Now, putting value of x into equation 1 and find value of y
Value of y = -12
So, value of x= -3 and value of y = -12
Solution set is (-3,-12)
Keywords: System of equations
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Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
