The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)
Answer:
34.
Step-by-step explanation:
All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34
Answer:
4:1
Step-by-step explanation:
Answer:
28ft^2
Step-by-step explanation:
you only need 2 things to find the area of the triangle, base and height. The formula for finding the area is 1/2(base x height)
if we plug the numbers we are given into the formula we find
1/2(7x8)
1/2(56)
28
we find that the area of this triangle is 28ft^2
The slope is -3/4
Step-by-step explanation:
You figure this out by using the Rise/Run method.
The rise is how many units up (+) or how many units down (-) the points are away from each other, and rise is how many units to the left or right the points are away from each other.
Since the line is going at a downward angle, we can tell that the slope will be a negative slope. We can see that the 2nd point is 3 units down from the first, and the 2nd point is 4 units to the right of the first one. With this information, we can figure out that the slope is -3/4
