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Solve the System to Find W1 and W2W _ { 1 } \text { and } W _ { 2 }

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Solve the system to find W1 and W2W _ { 1 } \text { and } W _ { 2 }
-Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 101 pounds is applied at the peak of the truss, then the forces or weights W1W _ { 1 } and W2W _ { 2 } exerted parallel to each rafter of the truss are determined by the following linear system of equations.
 Solve the system to find  W _ { 1 } \text { and } W _ { 2 }  -Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 101 pounds is applied at the peak of the truss, then the forces or weights  W _ { 1 }  and  W _ { 2 }  exerted parallel to each rafter of the truss are determined by the following linear system of equations.     \frac { \sqrt { 3 } } { 2 } \left( W _ { 1 } + W _ { 2 } \right)  = 101   W _ { 1 } - W _ { 2 } = 0  A)   \mathrm { W } _ { 1 } = 33.67 \mathrm { lb } ; \mathrm { W } _ { 2 } = 33.67 \mathrm { lb }  B)   \mathrm { W } _ { 1 } = 58.31 \mathrm { lb } ; \mathrm { W } _ { 2 } = 50.5 \mathrm { lb }  C)   W _ { 1 } = 58.31 \mathrm { lb } ; W _ { 2 } = 58.31 \mathrm { lb }  D)   W _ { 1 } = - 58.31 \mathrm { lb } ; W _ { 2 } = - 58.31 \mathrm { lb }

32(W1+W2) =101\frac { \sqrt { 3 } } { 2 } \left( W _ { 1 } + W _ { 2 } \right) = 101
W1W2=0W _ { 1 } - W _ { 2 } = 0

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