Answer:
x = 13
y = (-2)
Step-by-step explanation:
<h2><u>Substitution Method</u><u>:</u></h2>
х + 6y = 1 and 2х - Зу = 32 are given equations
<u>Step 1:</u>
Name the equation
х + 6y = 1 ...(1)
2х - Зу = 32 ...(2)
<u>Step 2:</u>
From equation (1) we get,
x + 6y = 1
x = 1 - 6y
<u>Step 3:</u>
Put the Value of <u>x = 1 - 6y </u>in equation (2) we get,
2(1 - 6y) - Зу = 32
2 - 12y - 3y = 32
2 - 15y = 32
15y - 2 = - 32
15y = 2 - 32
15y = - 30
y = - 30/15
<em><u>y = - 2</u></em>
<u>Step 4:</u>
Then, put the value of <u>y = - 2</u><u> </u>in equation (1)
x + 6y = 1
x + 6(-2) = 1
x - 12 = 1
x = 12 + 1
<em><u>x = 13</u></em>
Thus, The value of x is 13 and y is (-2)
<h2><em>Verification:</em></h2>
13 + 6(-2) = 1 i.e., <em><u>13 - 12 = 1</u></em>
2(13) - З(-2) = 32 i.e., <em><u>26 + 6 = 32 </u></em>
