Answer:
y=-1/3x+8 i think
Step-by-step explanation:
Answer:
y = 27/7
Step-by-step explanation:
Perform the indicated multiplication:
3(4y-7)=15y+6 becomes:
12y - 21 = 5y + 6
Combining like terms, we get:
7y = 27, so that y = 27/7
Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23
7x - 44 = 4x + 4
Add both sides 44
7x - 44 + 44 = 4x + 4 + 44
7x = 4x + 48
Subtract both sides 4x
7x - 4x = 4x - 4x + 48
3x = 48
Divide both sides by 3
3x ÷ 3 = 48 ÷ 3
<h2>x = 16 </h2>
______________________________
Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :
39 + t + 4x + 4 = 180
39 + t + 4(16) + 4 = 180
39 + t + 64 + 4 = 180
39 + t + 68 = 180
t + 107 = 180
Subtract both sides 107
t + 107 - 107 = 180 - 107
<h2>t = 73 </h2>
_____________________________
8y - 43 = 4x + 4 + t
8y - 43 = 4(16) + 4 + 73
8y - 43 = 64 + 4 + 73
8y - 43 = 68 + 73
8y - 43 = 141
Add both sides 43
8y - 43 + 43 = 141 + 43
8y = 184
Divide both sides by 8
8y ÷ 8 = 184 ÷ 8
<h2>y = 23 </h2>
<h2>The solution is (x, y) = (-3, -1)</h2>
<em><u>Solution:</u></em>
<em><u>Given, system of equations are:</u></em>
-3 - x = 0 --------- eqn 1
-3y = -3 - 2x -------- eqn 2
From eqn 1,
- 3 - x = 0
<h3>x = -3</h3>
<em><u>Substitute x = -3 in eqn 2</u></em>
-3y = - 3 - 2(-3)
-3y = -3 + 6
-3y = 3
<h3>y = -1</h3>
Thus the solution is (x, y) = (-3, -1)