Use algebra to find the point at which the line g(x)=−53x+15815 intersects the line k(x)=−95x+585 Write the values of x and y as reduced fractions or integers. x= y=

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Use algebra to find the point at which the line g(x)=−53x+15815 intersects the line k(x)=−95x+585   Write the values of x and y as reduced fractions or integers.   x=   y=

Oung1985 · Accepted Answer

Step 1  Rewrite the given equations as follows.  g(x)=−53x+15,815 as y=−53x+15,815 ...(1)  k(x)=−95x+585 as y=−95x+585 ...(2)  From equation (2) the value of x can be isolated as,  y=−95x+585  95x=−y+585  x=−y95+58595  x=−y95+11719  Step 2  Substitute x=−y95+11719 ∈ y=−53x+15,815 to find the value of y.  y=−53(−y95+11719)+15,815  y=53y95−620119+15,815  y=7,35,71021  Step 3  Substitute y=7,35,71021 ∈ x=−y95+11719 to find the value of x.  x=−(7,35,71021)95+11719  x=−7,61521  The lines are intersects at x=−7,61521 and y=7,35,71021.

Use algebra to find the point at which the line g(x)=-53x+15815

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