Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
The solution set: {0, -11} .
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Given: -p² − 11p = 0 ;
Multiply EACH SIDE of the equation by "-1" ; to get rid of the "negative" value ;
-1 * { -p² − 11p = 0 } ;
to get:
p² + 11p = 0 ;
On the "left-hand side" of the equation, factor out a "p" ;
p(p + 11) = 0 ;
p = 0 ;
p = -11 .
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The solution set: {0, -11} .
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Answer:
its b
Step-by-step explanation:
Answer:
x=30 ; y=60 ; z=120.
Step-by-step explanation:
(we can solve it in a system.)
z+2x=180 => z=180-2x
y+4x=180 => y=180-4x
y+z=180
4x+2x=180 => 6x=180 => x=30
<=>
z=180-2*x=180-2*30=180-60=120
y=180-4x =180-4*30=180-120=60