Answer:
Looks like true to me
Step-by-step explanation:
y = x +6
We have a system of equations 2x - 4y = 5 and 6x - 3y = 10.
We want to eliminate one variable when we add up the equations.
If we want to eliminate the x variable, we need to multiply the top, bottom or both of the equations with a number that when the equations are added together will eliminate the x variable.
Multiply the top equation by -3.
-3(2x - 4y) = 5 * -3
-6x + 12y = -15
Now when we add the two equations together, the x's will be eliminated.
-6x + 12y = -15
6x + 6y = 10
18y = -5
The x's were eliminated.
The first way is distributive property of multiplication. 3/5*9=3/9÷5/1=27/5. 3/5*1/2=3*1/5*2=3/10. Then you add the products and you would get 57/10. Simplify 57/10 to 5 7/10. Second way, converting the mixed fraction to a improper fraction and then multiply. 9 1/2=9*2+1÷2=19/2. 3/5*19/2=3*19/5*2=57/10. Like I said before, 57/10 simplified is 5 7/10. The last way is use rounding of fractions to estimate the products, 3/5*9 1/2. Round 9 1/2 to 10. 3/5*10=3*10/5. 30/5=6, which means that 6 is the estimated product of rounding. Hoped I helped. :)
Answer:
9
Step-by-step explanation:
-4(6x+3)= -12(x+10)
<u><em>Let's do the first part:</em></u>
-4(6x+3)
<em>**distribute**</em>
-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12
<u><em>Let's do the second part:</em></u>
-12(x+10)
<em>**distribute**</em>
-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120
-24x -12 = -12x - 120
<em>**Move variable to the left-hand side and change its sign**</em>
-24x +12x -12 = -120
-12x - 12 = -120
-12x = 108
x = 108/-12
x=9
Answer:
Step-by-step explanation:
-19=-17+k/5
add 17 to both sides
-2=k/5
multiply by 5 on both sides to get k alone
k=-10
