The larger number is 17
<em><u>Solution:</u></em>
Let "x" be the larger number
Let "y" be the smaller number
<em><u>The difference between of two numbers is 9</u></em>
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
<em><u>The large number is one more than twice the smaller number</u></em>
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
<em><u>Substitute y = 8 in eqn 1</u></em>
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
The x,y = -6, -5. Hope this helped, and have a great day! :D
Answer:
6 = x
Step-by-step explanation:
first, we simplify the parenthesis by distributing the 4
3 = 4(x - 2) + 5 - 3x
3 = 4x - 8 + 5 - 3x
then, you add like terms
3 = x - 3
then add 3 to both sides to isolate x
6 = x
7q^2 - 28 = 0
7q^2 = 28
q^2 = 4
q = +/-2
solution set is {-2,2}
