Please solve the following simultaneous equations 4x + 7y = 336 y = 6x + 2

Step 1 - through previous experience realise this equation can be solved by the substitution methodStep 2 - rearrange for the part you want to sub in, in this case it is done for us as Y is the variable we will sub inStep 3 - where there is a y in the equation replace it with 6x +2 this gives us 4x + 7(6x +2) = 336Step 4 - expand the brackets 4x + 42x + 14 = 336Step 5 - collect like terms to get 46x = 322Step 6 - divide through by 46 to find the value of x, x = 7

ES

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Given: 𝑓(π‘₯) = π‘Žπ‘₯^3 + 𝑏π‘₯^2 βˆ’ 3 and 𝑓"(βˆ’2) = 0. If it is further given that the point (βˆ’3; 6) lies on the graph of 𝑓. Show that π‘Ž = 1/3 and 𝑏 = 2.