Answer:
a = 1 and b= -1
Step-by-step explanation:
It is given two equations,
2a + 3b = -1 and
3a + 5b = -2
<u>To find the solution of given equations</u>
Let, 2a + 3b = -1 ----(1)
3a + 5b = -2 ------(2)
(1) * -3 ⇒
-6a - 9b = 3 ----(3)
(2) * 2 ⇒
6a + 10b = -4 -----(4)
(3) + (4 )⇒
<u>6a + 10b = -4 -----(4)</u>
0 + b = -1
(1) ⇒ 2a + 3b = -1
2a + (3 * -1) = -1
2a = -1 + 3 = 2
a = 2/2 =1
Therefore, a = 1 and b = -1
Then, a=-1 and b=-1
We need to solve the following system of equations using the adition method:
2a+3b=-1 (i)
3a+5b=-2 (ii)
First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:
-6a-9b=3
6a+10b=-4
Adding the two equations we have:
--------------------------
Then b=-1. Now, let's substitute the value of b into equation (i):
2a+3b=-1
2a + 3(-1) = -1
2a -3 = -1
2a = 2
a = 1
y = 5x
14
The answerscan be calculated by doing the following steps;