Q:

Can someone please help me with this problem? You need to find the value of x and y by using the strategy of ELIMINATION. Please show your work.Here are the two equations: 7x + 8y = 207x - 2y = 29Thanks in advance!

Accepted Solution

A:
Answer:x = 136/35; y = -⁹/₁₀ Step-by-step explanation:(1)         7x + 8y = 20 (2)        7x – 2y = 29       Subtract (2) from (1)                   10y =  -9        Divide each side by 10 (3)                 y =  -⁹/₁₀     Substitute (3) into (1)       7x - 2(-⁹/₁₀) = 29       7x + 18/10  = 29                       Subtract 18/10 from each side       7x              =      29 - 18/10       7x              = (290 - 18)/10       7x              =          272/10        Divide each side by 7         x              =           272/70         x              =           136/35 x = 136/35; y = -⁹/₁₀ Check: (1) 7(136/35) + 8(-⁹/₁₀) = 20       136/5    -   72/10 = 20       136/5    -   36/5  = 20                       100/5  = 20                        20      = 20 (2) 7(136/35) – 2(-⁹/₁₀)  = 29        136/5    +    18/10 = 29        136/5    +      ⁹/₅    = 29                         145/5  = 29                         29       = 29