Solve for x and y using these two equations 01764632x 000145

Solve for x and y, using these two equations:

[0.176=4.632x+ -0.0014+5.090y+ -0.002]

[0.278=0.683x+0.0001+13.22y+ -0.002]

Solution

given two equations are

[0.176=4.632x+ -0.0014+5.090y+ -0.002]

[0.278=0.683x+0.0001+13.22y+ -0.002]

0.176=4.632x+ -0.0014+5.090y+ -0.002

0.176+0.002+0.0014 = 4.632x +5.09y

0.1794 = 4.632x +5.09y ------------->1

now second equation

[0.278=0.683x+0.0001+13.22y+ -0.002]

0.278+0.002-0.0001 = 0.683x +13.22y

0.2799 = 0.683 x +13.22y ------------>2

now we have to solve 1 and 2 equations

now multiply equation2 with 6.782

now equation2 becomes 4.63x + 89.66y = 1.8983

subtract this from equation1

89.66y -5.09y = 1.8983 - 0.1794

84.57y = 1.7189

y =0.020325

plug y value in any one equations

pluging value in equation1

4.632(x) + 5.09(0.20325) =0.1794

4.632x +0.10345 = 0.1794

so x = 0.016397

so x =0.016397, y =0.020325