7x+1y = 17.00 can be simplified to y = -7x +17
<span>-7x +17 can then be substituted for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50
From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68 = 17.50
-25x + 68 = 17.50
-68 -68
-25x = -50.50
÷-25 ÷-25
X = 2.02
You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.
7(x) + 1y = 17.00
7(2.02) + y = 17.00
14.14 + y = 17.00
-14.14 -14.14
y = 2.86
Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x) + 4(y) = 17.50
3(2.02) + 4(2.86) = 17.50
6.06 + 11.44 = 17.50
17.50 = 17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)
Hope this helps
This is a neat little question. I don't think I've seen it before.
Step one
=======
Find c
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
c = 5
Step 2
====
Set up your first equation for b^2
a^2 + 4^2 = b^2 from triangle XWY
Step 3
=====
Set up your second equation for b^2
25 +b^2 = (a + 3)^2 from triangle XWZ
Step 4
=====
Put the results of Step 2 into step 3 and solve
25 + a^2 + 16 = (a + 3)^2 Collect the like terms on the left.
41 + a^2 = (a + 3)^2 Expand the brackets on the right
41 + a^2 = a^2 + 6a + 9 Transfer the 9 to the left.
32 + a^2 = a^2 + 6a Subtract a^2 from both sides.
6a = 32 Divide by 6
a = 32 / 6
a = 5 2/6
a = 5 1/3
9x - 5 = 22
9x = 22 + 5
9x = 27
x = 3
6.1% of 36,000 = 2196
36,000-2196=33,804
It'll be -25... when u subtract -20 with 5 the answer will be -25
work:
(-20-5= -25)
