Question

Solve the following system of equations using elimination:
3x - 4y = 8
10x + 5y = 45

Answer 1

do you know what mean elimination method to solve a system of equations ?

so in case of one equation what needed multiplie both sides by a number so that when assuming these equations these same terms eliminate so for example

3x-4y =8 in case of this equation multiplie both sides by 5
10x +5y =45 in this case multiplie both sides by 4 and so will get

15x -20y =40
40x +20y =180
------------------ assume the same terms
55x 0 = 220

55x = 220

x = 220/55 = 4

x=4

do you can getting now easy the y value than just substitute the x value of 4 inside one equation in place of x and solve what you get for y - so

3*4 -4y = 8

12 -4y = 8

12 -8 = 4y

4 =4y divide both sides by 4 and will get

y = 1

x = 4
y = 1

hope so much that this is understandably sure easy